{
 "metadata": {
  "name": "",
  "signature": "sha256:044f4168d42b33c405c486eb32eac1b2dfa3f1e2a7a72960f1e3ae8ed7007eb6"
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Import standard libraries"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Import the package MultiNetX"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import multinetx as mx"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Create three Erd\"os- R'enyi networks with N nodes for each layer"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "N = 50\n",
      "g1 = mx.erdos_renyi_graph(N,0.07,seed=218)\n",
      "g2 = mx.erdos_renyi_graph(N,0.07,seed=211)\n",
      "g3 = mx.erdos_renyi_graph(N,0.07,seed=208)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Edge colored nertwork (no inter-connected layers)"
     ]
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Create the multiplex network"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mg = mx.MultilayerGraph(list_of_layers=[g1,g2,g3])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Set weights to the edges"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mg.set_intra_edges_weights(layer=0,weight=1)\n",
      "mg.set_intra_edges_weights(layer=1,weight=2)\n",
      "mg.set_intra_edges_weights(layer=2,weight=3)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Plot the adjacency matrix and the multiplex networks"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(15,5))\n",
      "ax1 = fig.add_subplot(121)\n",
      "ax1.imshow(mx.adjacency_matrix(mg,weight='weight').todense(),\n",
      "          origin='upper',interpolation='nearest',cmap=plt.cm.jet_r)\n",
      "ax1.set_title('supra adjacency matrix')\n",
      "\n",
      "ax2 = fig.add_subplot(122)\n",
      "ax2.axis('off')\n",
      "ax2.set_title('edge colored network')\n",
      "pos = mx.get_position(mg,mx.fruchterman_reingold_layout(g1),\n",
      "                      layer_vertical_shift=0.2,\n",
      "                      layer_horizontal_shift=0.0,\n",
      "                      proj_angle=47)\n",
      "mx.draw_networkx(mg,pos=pos,ax=ax2,node_size=50,with_labels=False,\n",
      "                 edge_color=[mg[a][b]['weight'] for a,b in mg.edges()],\n",
      "                 edge_cmap=plt.cm.jet_r)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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3DQVv17j6CZnrWVmGWhgCITMavSfPoi6EJYQCaC/UchGkkX69IzczP6HoGcB3\n/LHr0L5fhSZFeNF/vhdNNiFSeRoa0/MkcLVziTUilTsA30VjvJ8Afg5TWqKD92JyXq1h31vh1IXo\nRK7ppTCyXISKyEAMFbXdnhoYY+rQjtN839DqM/eBJpio823MZGUCFUeNwB/Q31g2i1RDVwX/prK5\nk8QaIf1e9GyOYNmW5glKv66JHmN7w0SPYWw6PiZk1xJu/8ct1O6eeY6aMU1JLoqhMQ0N6CC4wK/P\n92VBZHk+sCjTBKF6za6Inuufgfhs4F1oeg3mfejcX5ranqcyjrqWfQuNo8lDB/g/DNzQut4PWQeW\nDQ1MvAKOGoRahI5FB9wvoFaU2b4/jkfF1kOowLkJuAA4D1In6n6xZjS+6E3gn/D2kHz+ec3ttMbb\nxhBJUyMX10DFX4FrUGvVkYTuarugVq+ZqNgZgIqIiYQTggbubC9HLReZ214p6Nw5F6LxSq+jk6w+\nj4qfUtTt7QDU1XAv1C1uASqGxqNC5EU0m166cCkChkNVaT7TY+1jpnJcI+fOgbFr0J9AZ6U+27ZS\nbr7vZpo+m/l3PGpdkksT2vcsRK1Y2axMR6MWq5fROYY6ipkqRq17maxQ3XLriwpTmxeo59iseXoM\nwzAMw9h2EKkchA5wg2xqBwM1tZw2ezJ/3ilzFrbFR6IxKYejlowK9O33QmAOYcawg1E3rx2AcpHK\nlbQVQl4cTZlfwpSsqa4LKVtQR/xl+OSgIp49t4GqIoBiqahNcuzzsNMK1LpxiD8sB80oO9W5RMap\nMjpjENx2ExRG6+OXC67j2bPWuWcm+v4TNN7jc74O41GLwXrUxW8Rat2phmeGD+KFEbU6KD6wgPLa\nJCc1Q0UNcBR85ohGBs++mocKJrFmHIgUMGZDI0c8CBWvoaJpNeoq9yoqpq737T0SOA34MWrteh8V\nQvehsUsFeg1O9NabqMUkKCVo1rlBQEw96ohD7DBUwDWgVqplvp316KD8GdQCNwGNC2pEhdduaGKI\nd1FhF4hkL0ju/NPNtB7Wvo9b5DruqurO4F2kMhAoxwPH1/DNEZOZnkqfA0rF67JjnUtE3cGCuq2I\nnK8Q+DneUuZc4rVOrh9MnpuPZiYMSinar4FlqsSvj0FFYJqVinzCRBsDRSpTwAZINceQ0nMzpMi2\neYE2nT5t6elLbmWGYfRtzNJj9Fe6GzfgLSF7EsbhHIIOut4gzKb2qnOJ5Tp4W/ByCQ+WJaneGTYG\nZ18FvO37Hc3AAAAgAElEQVScaxWpPBS1ZByJupQdgg7+P4daAT5EB+bPowPwYlQARct4/awals9d\nObenpUOeTKy5kYuSUPdIAfedcRsUtM+kdn4SKgS17DjUujDHl7mRMs+5RH1X+rfzmKZLB8OoE1FR\nNxEVAJ+iyQrqfdsOQ2ODJkDVQflMz2tv1Yg1N3Lu2zB+NzRWaSWQD6kxulcMNHYF37aWSDsDWv01\nq1FLSx1dsIL4sgGNZfo8anV6Al55pZQnT68jdRiE8SIw5T1UwO0UBPRrf1XuDdyBCp9vOZf40IuP\nQwjjgg7098DPFVTzUoyfL+6gj12K646CAfWogA5Kq++UPF8G+Pofiroz7oKKsg1oTJeDBZ8W88io\nelZXABQyeH4dxz0De6z1fZsXKdH1wWgGt2Cy15wM+2Q6vtVfPyjNm7EcrOcDYyA1OsZPPlsHWVz2\nup/wYnvERI9hGP0CEz1Gf2NTg5dFKocRWnEORQeey2ibMvp95xItGY49BU0tvB9MSQETBsG0SOzF\nKzVcsDNUXOhc4tEMxw/01wtE0MFoMHsggp5PGzgPhIe+UMKcRJL6fQEKGbGqjpNWw9iRRUwvm8ZC\nyeymNLo+ycWXoWmiW4ByNAnBLmllRzQO6BPUKrXE98cKNI4jFyiAlsIYN96VPQBeSHEDEHPoADcY\nYOYFzSEcuDYBDUXcOSxbOuqrGN2Q5OL30Lf/Ff6zwddznW9LPmpBGYwOvjf4fc5zLvFIev+nE7FA\nBAPzzwDfQGOSPkHnVXwOnt65gJd+dxtuYJqL3fpGzpwOe52GzvWTp33Fceh9fgH4gOwCIg+1Eg0F\nBkGqNMbUWCfxNnjRl4lgsCp+ObgHcfQ3kCR0IVuvpbUJaIJ4o+/LRtoKw6Qv9aiQ/So6p9DjdF2o\nNGeb+LWr+Hu1K+qqeQQqGgcDL8F7n5Twt8tvgVgW97bn1jl3zOZcf3uiz4ie9AB9aBuf0tF6T7G1\n43+2BH2lHoaxtTHRY/QnOgte9m/h9yV0UzsUHWD+h1DkvOpcYk3n16rMQ92jLncu8US2a6uVInVI\nVwKnfUrnzxKKoMNQ0fE8KoRmBemmA0uWF1sHQOvZMW6c3MkAeQPEGlCREVgEHDrQz0VFQwE6KF7v\n93HoqDoXtRisRwfK1UXcMWIaVaWZBpZXM6yqjklX+csHbkiFaH9PAt6D1sVAKcRL/QB/QhcC6r07\n2cYMYnmEg/hqdFAdzJ+T9NcOxNAK3/ZsoiPXnydos6CD+xpfjWZgQxF37DSNqpLM4qyiNsklVWh8\n0AhUGCxH04Wvo2MxMAq1Mu7ny+pifld6K8sHZ0nc8FYtV98DfM/flw9QN7F9fV+v9e0qglS+tivW\ngLrQVRPOObTBHx+I00D8pbv4pS8HFsNABGWynG3O8sZ02z4j3ARCgROkPA+SRLwAfORcIlUmMvPb\ncPQdwFQg7X8BDZw3E3b4YmdxW4bSa6KnrwT89wWy1akv1tUw+iomeoz+REfBy1dRXp3kW7lojMwr\nkfJRd946i1ROBo51LnFSZ9fubuC0H+jtRyiCjkAHsq+g1pdRaBxFC7Q+HWPqhR2kHibFDfdBPBiw\npqc9LiLMzBUMhpvQwfAGdDCcGzmuEKoG5TO9IPPEpBcCo1rRAX1wDj+4X5JbxFPlDSwSgEJG1dTx\n+dkxZhyU3SVJSHHDfIgFLlU5/rwQihYIrRtN/pqBe1eKcILRD4CX0NTTq32f7oammZ6IJiCYjp8g\nte096dStjxTXXw45B/h78x3nEv9M2zWwVOxMmGjhGN/vQTKFmc4llonIhAJ4ob2Yjrc0csFKGD3E\nX7rIt1lQl8l8YBTMe7mEB3dIktwTgsxvB/8ajqtGk0mMyPKZj7oRLkfFYvBZDHwNeAqY5vsuRXZh\nlC2rXFeWB6K/SQgtd7Wo++Byf+2oSGqC1tYYU39UB/IxMAV4zJ/geF1OOW54AOLlwGnOJarT743R\nFhM9fQATPYax+ZjoMfoLXRiMuhTfHuLcr9dt/rUqh6EDyyOdS3zctYHwDX+FeC6dxzp0ZIFoQS0Q\nOejgFlSMJIGaIn4/ZBpLizJbXoYvr+Pbj5Dd0tCMioMSwsDyIahlZphfrvYlB40FqYWlA4v5W3U9\na8cBFDJiZR0n18KYZwld5kawMYHD7JoC7v/KbaTy0oSSizN4wzRWDMgsWseT5Hzn270ejY96FxUI\nz/jz74nGD52CCgrQwfFs34e7+/Y0+vO0+j71VouUt/DE1qFWmXXowHodatEYAK1lMW78UicWqdUQ\n+z/gBucSyWC7SOU42k6AKoRpsWc6l1hIBrzLZjCppxQyYnUdpw2A8kWo+2UBat3Z3d+bRv2c/58C\nZhyQ7obXlbTN3vVyBKEIKvd9eyCacAH//Ujft1FxlC6Uop+tvr/Tyyg0Nmgf347yyHE1vk0DCRMa\nBIkMAiuiF72pVIypOdH7E6hWP3NsKsX+A+DU2/w9ONG5RJXvZ5vENAPbnegxDKN/YqLH6C90LbC+\nZ4KXRSp/C6x3LvH9Ll7bpfjROZC7qYHbG1ALxJeAs9AB7f3AA2iKZdAB4ueAo2Dp5/OZPjQ90YEf\n5B7ZnUkZvUViX+AcNB2xQyfgXIpm2TobWAGpIcASiC1EXQf/gA7IF6BWqULgsGJ+e+OtrBieSdhc\nwZAaR21puuXoCqSxgdwjnVv/hkjlSHTy1c+j7k5jUbEGmqDgI9SK8wqaKOEbwN6+vnnoID7uSwxo\ngKpYEY9saKCqGHDFxF+pYeKf4fDh/hp7oVnn6oF4EdOLs8VOXcl46jk/aHM9OiAvQwfxuaiV6Q38\nvD14UZXJ1cpPXHo0aqQ4DlJl4J6G+IuE2eiOQ90sH0YTZiz1/f+FIu78drYYqWzWR5+OPZ/QGliI\nCsgbUUvS7wmFYlBKUTE5mDDzWiBMBvh+jwr1lD9HYGEN7kcNal1agArVNb4Pg9Lkzz8CjesaR5js\nY5nv2w9LuP3UbKnkg3b73/U1wKXw4A8G8fb3bBLTzJjoMQyjX2Cix+hP9KSLWba3viKV+6KuPbs7\nl9hoNSqT2PM34Y7smWtX7o2KnLMgNRDcXyB+P/BGR5M56kDu76eUsOCWJLW7g1DAmA1Jjp4FOz6E\nxgZ90BV3PpHK3VBBczY6CL7Pl3cicRYHAXc4l/iMtwyMRQegl6Bv7Gej1pcKYIB/Cx/v2EpywfIi\nnhnawKIcgALKk0mOfQV2fI22WeZWRuoxEo1/OgFNBrEzoRDagKbEBh0kD0StRNXAbrC0OZ+7izK4\n6LlGzn4Gdnrbt+toNNPddPjdnAKWP57B5ay1kfNmw9h3COPFZqNWqBXoQD+wog2mbbrmFGpRakLF\nWDEqHpahKa0/9d/tgyabeA21cM1ELX1plpOWohg3/raTRBPzIdaCirHg2IG+DoHQiKNWmAW+HvXd\nKI1oBsIgXu0If97ZaMxatW9z1LI0EjXSNKBCO8/Xr8bfv7mo2HsNnVdp499iNpfATOJf5LQp+fzr\nx1leFNgkpvShRAZR0pMa9DVh1FMTf3ZV+NlEo4bROSZ6jP7Epgx2OjhH1uxv/u3wU8A/nEv8Ojym\nshwWPZXPPbveTmtO+8Hz/mc798oDHV+3cg82Ch2K4ePnSnlwzzqaJqTXo4t9ESQ6GI22JYgLKkOt\nDEFyhHeCuBWRyvFoNq6z0cHn/b68mklsiVR+H9jNucT/8+tD/DWOBy5CB6wzUfetV6FpfYyb3+x4\nIH79NJ/YYE9o+CYUDaV9hrldUMvBPNqn3J7rXGKNSOUo4ERfjwPQgX2K0I1PgJYipudOYyEdWG2a\nfV9NAV4KhZYcUEz+HfX+/hRQUZ/kpAEwai5wl+/juYRWk2xlDGqJ2gMVZU3owL7J17MMtZjECOOV\ngmUXWQ4shOuBRkg1xJi6a3aBiUtxw1MQ39f3zSu+nc+iVsQBwC9QsXeOc4nX6SIilfloauwg6cCh\nQJXvkxd9mY8KmV1QS9qevuyFirpFvv8WoXFXtej9G0z7GKQRqLiKuNLNbi3m8YPrWbcDQDED36hh\n3I/gnJk2iemmYaKnG5joMYy+h4keo7+RFv8QzJtzRVcFTyfZ38YA/wXsF6Sw9paffwJ3wE8eG0Qq\n7donPQ4H/gA4zrnE+22vV7kbodApA/4C3A9TmwtonZWtHpvz9lkFWhsRVI6+bQ8sCw8AfwZeTA/i\nz3Cuv6ODV0HjI3ZCB7Qz0QHpTs4lTo8e03GyiYpkkktuRUXAmaiFoA51WfvYfwbLjWQWQ7sQZnPL\nR60Jc/1l9kQtUWvQGJ6hMaYO6CQ+pxliwRxALbA0WcTjhQ0syQUoYExrkuPWwphG35dB7EmMzFaP\nJlTEDEYH67moFecjNE5sMDrw3x+1/DwHPIFOtBpkSWuKWLkEdSWLWo0OAs4sYvr+01gYz9zXY5uT\nXBjz9a1BrSo56O/AZ3pjNfA3NLvhSsL4pnVAdUQsD0Yn4Q1Ezn6oFSYQOa/7dgWiJhA4O6AWpA/x\nrmm+zN6UzGq+D8rImJChdRQwHOLBd8O0vakV0Lo8xk8n2nw+HWPubV1gS9d1W+oLw+irmOgx+ivd\nCUruaEB+LfJcDYnRwCTnEk/qNSq/CNyNpq2+P9u1RSrPAW5H41A2EAqdYajQeQB10Ul1Vo+eePss\nUjkUOAO16ExAY3RqCOMjXsGnyAZecy6x3h9XiA5ug2D8A/2+j6IWgteDt+j+bf8nwMnOJd4Mry0T\nCpB/Zw6uP+9N2OFT4ALgaeBX6IB5DzR2aY/IciFthVALOuieSJhRbCTh3DJxdOCdZKN1qGVejBun\nduIClvIuYDGoyslnOu1d4XJSjZz1N9j1ZHTAvwjY4FzC+cluD2BjXA4TfJ89BTyJWiZOAk5DrSqv\no/E5DzuX+LSj+xjFX+c0YDIaf/QL+N3rmd3wqG+Ez8GUt1CRE3W5+xpq7XsTtfaMR5NYJAkTQOT7\n45r9ehx1UVuBCqU6v08ZKjSGosJ6NrS+D6k3Ifd9YE7w2+ppfPr34bQTQXMPKmbmMfUsK3U4xFfW\nRE92TPR0ARM9htH3MdFjGErXkhHc8C/nfnKy7l85Cbge+LJziZc7PnflTuhklV9GxUXgNvZSenxN\nFzPB3Q3xenRg3+o/U1nWg+9yUcGwH+pG9REaUP8BYUrqFDpY3Qmd+HE3NB6nBh3clqBWiXfQN/SX\nogkOsl37DHTAPznynYPFDxbzD6euR84Vk/tKDbvdCGd+gsYNPYcOnvcCLs/SpnJ0gH6Wr2dgjXGo\nJWcOah1527d1NjpwH4XGlpwNTCxi+vBpLMw4ieVVjHdJzq8Lzl3EXXnTWJTFclJem+RbDhUAa1HL\nSB4qIhejk3c+CbwAjTtC7qmQc4q/J0+gSQgei8amdAWRyiJUJH4fTeRwG+p+6S2RoeXTAaVQW6v3\nMd11cyiapnsk6s42z58/5vvra8Cx6O8iD7U4LWej1YwxqMhY5b+rQ0VSCsiBReVFPDWugSUDAQoY\n05Lk+OUwOpj0NpopL1P2vCCDXi5hzM+IDpYHofe7iY0xQVUl+UzPjYrWI9EANHNvy06fdm/b3kXA\npvSD9ZmxvWOixzCUzsWGkOKqPaFgDjqwPAE4KdvbeJHKHYCvoIPyMaibUDU6V+KxziVmd78eN9T7\n+WqqI6UGjXuoQQecdahQ2R11FxuHWiBmoy5pKdQFK8hiFiwHmbFGoW/oa9EBLoSZumpQoTQAFU4u\n7TxBCSaUnAepJt0nNhQdkMYhVQ+sg1j0mFzUAtbor1cdOVdQ4hm6LiqMgtTWpLUtFflug7ZraUs+\ndw/LPNfQBUkoz9F2piTGVDpxhfOnxqGxNet9PQqBJljqiniyoIFFMe3MEWvqOHYm7LKCjgVrpvUi\nNHnDgdq/PIsK0izHvDq2gMevvw03IC0z3voGzvwD7HU26pb4R9S6szeatW8frTvr/LlK/P1bqf23\nMSNeEhWZr6DucHPDa8/Yq4BPH7oNCtKse40NHPUdmJhEk0VUoGJ2OGp1GkTobpcXdK5v3wbCuZiC\nCWVzCef3WYYK8zmoy9w7pfyk8mZSR1xGmMb6XdQ0eBPtJjHtdsbD/kZOb1fAMAzDMIyewznXWiby\n/IwMbmUzgEKGLK6jYDHwIDoIOzR9YkORyrGEQmcH4O/A1cDzkRigucAzIpXHOJeYSzumDCjkV1Uz\nWD06Uz1KcDPXucqJ3tVsDDpYjH6OQ4XOCHSQmETdzP7oPxehlodF6Jv6vQnd1Q5HBVEwQebzziVq\n0tpYiAam/xQVRYei1qJZaCD8i9F+EfnSzcW8ckk9ywdBEANz/BIYcz/EfpieIMHHZxyDisQ6NAXz\njv5zvW/fXOA3wP3OJZLeGpFeAhG2O6HL1ip/bDFqYRkBFbFGLmi5isdTk1icB45CRq5u5Ph3oNyh\noqIZtTiMa3+/2hCILSGcTDNX61I1IJ+7c6a1EVfLh0zm/i83cs7TsNO7qHtYkJwgk4jM9XU4GLXG\nfYhaDOv89XbPcFwciBXzxvG34trMgaTLbsCVvPbtevZaA3wBtc4F4lBQYZFCBW6T78OqyHVS6O9p\nIPpbmIj+fYjvt9YiWgZMg3j7a5N/JYvurKcdjlC8Bvpkg/8M2pTv69RKe5HXiIqmoWh8UxxS8Tpc\nbB90EqfH/clORP1OvwtM8u0ugVkNXYwD3B7oU5aerWmt6AvJAcw6Yxg9h1l6DCMkW/Y3zcC235lw\n8vVorMP/i8SujEGD7s9Cg+j/gcbozAyETvvrVF4MJICjnUt8Evn+cGA6fDK3gD8eneHNeMa3zz5+\nYSLqsnUa+gL7XtRNLF0c7YO6g41EB44tqCvZp6gr2GxCUbQIWJ0lc9trwA/QGJSDCZMjHIwKi1nw\nypICHv9JejsmE29uxB3iXOub3q3qQHRwerD/bPTnOAIVao3AcGi9B9bfAwXzUEvHoLRS6j9H+vPs\nh1omkqgoKCIUJS2E7lNJIAWpGJAHsWLU0jXQb/8AWFbMb4+5lRXDMru3jUslueAWfx/2IS1MpIi7\nWrO7xo1uSHJxNRo78wFqMXkdTcf8kdaNk1A3wZ2BXwK/Txfd2eii9XA5xD5Ekw+87esxP/ob9oI3\nLUYmU/KAjemm6yEVizF1aAdZ5FIpTiuACePR3+WuqHgLlgtQS1ZQPkF/qwtQEVZM+PseHSmB1agU\nnUdqmfCTA4cAU2lr1bkBWKMz0w4EUtt7DE86Jnp6ERM9htFzmOgxjLaIyNcGwa9rdfBMMbktNRz2\nCBxzAPA/wDR0QBwInT1Q688DwLPRdLgdX6fyUuCHqFVjGToW+xrwbecSD3aWhc4Hrh+BCp0z0IHg\nfcBfnEss9fsIKsQCS84xqLtakEb6BfTNeSaLUfBZiIqgQAgtRi1Et6OTYM5zLpGMtCsPjeM5qpjf\nXXUrywdnGuhfzchVdVzWgA705/r6V6EiY2dUCO0ExGHxgiIeH9pAVRFAAWNJckIDlK+lrXtfPmph\nG00odJrRRA0v+3a/D9RkC6AXqTwW+F80bukJNI7lKKAYltTmc/fI9DldNJHBhS1QXo8mdXgIjd9J\nAedC6vIYU3fvxDXuPxArRS05jajrWAEq2lp9+/6KWrg+6spcS2GbsoueOqAUUo7rDocBw1DBMgq9\n9xV+fTh6n+K+X9cTWmDiaD/noi5ouX7dW71SqRhTY520fT3ElqKCO1rmEM7xMy5Souv56DxIC1Eh\ntDBtfXmQZa5MZN1NMChL/M66dc4N7lKHbmf0KdFj9Bx9QdQZxtbERI9hhERTVn/df/cngviOL/wE\n9l+FCp290Qxb9wPPOJfYkOWUnVyv8tvoi+YGNA7icucSq9PqtDETnBcxB6FC5yw0ruI+4AHnEvP9\nOcehAicQOY7QXW2mc4mFm1jHwFIUFUIHoq5wK/x6E21F0SJoXhLjpzM6yYxWB7FlqIjagA6ud0TH\n4v8GnoOlt+Rzd/7tNGecPBKmDEBdCI8jFDnPoB5MM9EMYZ0O2kQqR6Dz6xyOZhobh8anPOnLe84l\nUiJFB5XAHUnq9/OTvzYnOaEWKoIsZi20Ta39EdTPiTFtTieWliaIBXFHcVRYBBOFBgkmgslCc/y5\nX0JdCl8DFvhscUEM0U6+jANGF/Obb9zKyuHBgP9N1NT4GPoDKWBcKskJrVAeuMW1Rgr+uzzfvnpU\nPK9Dkxas9PdwKSpcU6iFZSSwcxF3nDaNqpJMYuMa8t+q5ZrvoVaZTKKmlY5FTRtLpBfd6VnbRkDr\nyBhTv2uZ2jadbVr09JSlpL9aXPpruwwjEyZ6DCOk4zlkxrYkufBe1KLz1Oam2hWpHIj+CV6GDmwP\ndC6xKMN+ggaUn+3LetR17X7nEh/7eXeOIbTmFBJacp4FPunKoH8T634tMNy5xGRfvyG0sxK1jo0x\n9avZB5kbRU/gcubQQfQbqOBZACwo5jf33srKkR24lAlqJforqlE/6KoVxCebOA64GLVOrUHnKHoU\neMG5RKPfrwz4InAqmsDiI2h5GJr/CfkfoAJ4hq/DCNqm1t4D2KOI6SOzzZlzNUMW1HH5Cehg/1o0\nNqYWdd0KuiyGuucFgiRI7hBN2hAlSGjQAjRDVSyf6UW308w+wOm0d/OaTE5rI2c/ATu/j8burEz7\nXOVcotHf89GoC1pQgmx/I9G4sDm+rIJ3yvJ56IrbSeW1TxZx/jqo+ITMomahc4lqkcoBhJOQpk9K\nml6KfV0jE5WyAlpWxrhxWnYRbqInGyZ6evA8fY3+2i7DyISJHsNQuhj3UAWxRv9VPWqRqPEliA8J\n3nwH85XUE04q2eBcolWk8kDgHjQQ/duoW9vlaIzPYq1P5e5o8P3Z6Bv/+3xZis7nElhzhqOxO4E1\n58OeFjnpiFQ+DMxwLvHXjvbrWESObkhycZD62GdIoxl1j3L6fWp9jKkjOogHcSmu3hMK5mWPn2pj\nKStBxeHxvpT5a64HLnUu8USkjTuiIudUVBA9h7qtPepcYnlkvxh6r/d2LlHlB+hBbFHwOQje2T+f\nh6+8ndac9gP/Cx2Miv4fbiFMIx6nncvYxgD/FOE8OZky2vl+pEHrMu+pEv4xNkX9vtPoPE2zSGUx\nbQVNUHZBf9tzUMtOte/DuG/vWNRKMwoVIAthXk0xj+1Zz5qxAMUMeL2GvW+GU5bSuZgpQP+mvICJ\nipl2ZW020bul57/qr2zToqcrZBv4b0vuX92pa9Bu2HbaaRibg4kew1C6KHqaIbYWfQsfuB3loNaV\nfFScDGBjxq6NGahAB6cxwoFrI+FcJg3oW/xhqIvYUH+ed9F4FIe6Ku3u93kbjVGZhVpG6lBB1eU4\nj+7i3/KvAvZ1LlHV8b7ZEkPkuEZO/wXs/Vu0/8pRK8fu6AB7H2AkpAbGmCqdxIM4iAkqEurYOEfO\nJ/XF/Gv3etaMASigIpnkpDiUv4S6v5UDX0ezFf83eq8ORGO1TkH7+d9o/89HB94REdMmacIe/rql\n6H2vQcVGIz6DGSCwqLCIJ8sbWFqgdRpHkhMcjEoRziczkLZZgp3fthYd7C9CBfYAVLSVoy6BTejv\nZaHvnsGohXCPtufrLMYGl+KGWRDfzbdnsfYndb4dA327R6MWvqWEVpoq3/YG3+44+luOiJmU/4wN\noL1gySZm1vWEkM/2e7T01B1jKasNwzAMox/RWcrqEtzMamKnoxM1HhQp+Wg8zmv+8z/OJVZ5C0Ax\nOnAs9fv6RFE8gg4ey9C34bv45QFoEP96VDgd6kuK0CKxHh3I7gl8Cx1Y5gE5IpUbCEVUEHdRS2hp\nqk9bzvZd+npjZNC5C5DsSPD4OKBRMGVIA7MfvooXTpu0caBfXtfIF6ph9KW+/ksJrT1lqOVqAfAA\nxJ4qRi6bgTsi0z0pYOS6JLE30QH+GH98AVSNy+e+vFvbpIdeWjyZ6TRywXFQ/nlCMTEVFT7B5Kat\nvv1r/L3J8/ck6e9BsE+dXx/m913rzzkYve9x9H4G1pg8GJuf5OIBkGoE8pLEqlGh8h5t3cjq0PmN\nTkcF4Pt+Wyn6eyhCA/0/QuN6PkbFxlDgM+hv9BBUjC9BxXEghPZEJ33NevdAKtDfZyDU8W1Nolat\nJf6axaiYGYsKxjiZRcuHqBVyBcSC72q2tEUyHZ2EVY66Dn42KZIgxNJTd0y/t/RsLTqyKGX63jCM\nnsUsPYYR0p03wT6mxqdcbj0I5ECIrcMLIDRm/HjgQjTF873oG/IzUNe1/dAUxWtRa8cB6KD617Dh\nUUh+AIPzCMVTR6XMl8ASUYwOkIO5S5pQ0RRM6BhYogLrU3omroGE1qtAAAWuaFWEc8rk+P3z0YF2\nkFAgFx0oz4XWt8Ethpwl/vhgoHwwOoCeiQ7gP/THeYvK6/vm89jU9m5hOalGLlgHFcWEgkUAV8R0\nN42FsUxuTFcynnrOD1zh4pG2byDMShbthxzCmJnoXDAusl8zKnwCQbAIFXNRIVOMJp84FY0L+4Vz\niY/oBJHKCuAc4Ju+T/6EiuYg1fc+qBWwAr3nTZH70Yzes1a/XgCkipieM42FktntsKI2ySWL0Kxx\nw3w7s7mSpVtm6ra2kOkuUbfH3q5LX8dETw9hoscwehcTPYbRls5SRXdwzG21mtqYYvJeq+GER+Cz\ne6GD3AFoWuYV6EByPDrfCKhr0nuEyQf+DR/8rIiXz2tgyUBfh+erYXJ33kZ7d7R82oqjkrT1QahV\nYyQ6mC7z+xSioieXtgN/PwcLTagFoQEVDWW+fXF0oF+NiqJif74CdPANoWAKlqOxKs2EIqQRFrsi\nnhnXwAIBKGTkmjq+sATGDUItDfNQsdEKqZ26kB56vc+UFmRbg3Ayz6CdwQSZwbb1hLFbK7VtrQ0g\nJ0Hsed9HQ30ZggqP1f64Ut+X76LZ1hb5bYFQCkqj78MKwnlmoss7o7EyBb6PVqLuZ3WErmS7EU4c\nGgxWo26VAstS+dwVu72NJQwmE29t5MzpsMeDqBBdEU1Hbmyf9FvRs6XFxpYQOSaQDKP7mOgxjMx0\n9RcA2IEAACAASURBVE1wNM112wFkrLmRi5JQcR/qUnQoOgAOBqxxVAjNBF5ErULzYcqETOcLUjQ7\n597sehsqY6gIKe+kDEUH3StRi1M1YbxRYP0IYpfORAVbDipkBvs2xVCRsB4VEtEAfAgH3U2o9SdI\nAlFN6IbXQGiJCtIlp1AhcLYm2GIQxNajoivoxyCeKhdS8RhT6UT0LIdYHeEcP0Hq5aAPWv05A7E2\nlFCAjICqQUU8QQOLYgAFjHVJTkhC+RI0/mcuKnSO8W3+G+qiFmS4qyCc+6aYUAwGwm+9r25aTNBG\n61uBr19UOAYZ3Vag4moBam0q9vXYEXja12M0LDigiGf3bmBxrrZhVHWSEz6BcTnoXEe1aLzY6/7z\nDecSK9kMzLqybWIxPYZhGIbRj+nqwGwQ3HYTFEZdhXQ5lXsVTw1Kcv4l6ED0bnTumFnOJdaKVJYS\nxgd9BZ30NL+IkTKN5RnOR+F18DNgorfeBEHswWB8B/ycLIQTSpahA+ck7QfQgQtULiosBgMxSPlB\ndSwQJMHnGsJYo+nAYWi6549Rd6s1/rtj/H5ByuyZkclSc2lrZarwda4gnBBziK/LUFRkBZYhIBZN\nz+x8m1oIA+eLIba+gAqZwZL8THFARRS8W0vsh6hoKPLXCEoROgdT+neR9aV5+dwdm9bGSrJQJjO9\nuJELdoDyXdH01lF+4D8DURjEW9Whgivm61Pirxe4FTrCTG4bfBubCRNpFPvPYA6dVt8Xdf4856EC\n6c/ApahL4provFIiF46EwbsnKd6FMM12qb8f+/v1i4BhIpV1hLFrr6NCaBWdEFhCY94SWibSbcul\nsfXZJi090cxkoJaRbdlKsi3X3TD6CmbpMYzu03nGN0hx/ZWQMxtY5svK7OmVrxgd4/ZFnUzouYGN\naZ03ioAYOjgOLARJQitGDToIDiwrtZHP6rD8bcdSPvphHS0HARQTf7mGiuvhwrfRwXQRcD0aW1KP\nDno3oDFIuYTuea/6egQpiEdmWR6ODtiDuJBmf41gn4/QAPxH/ee+/hq/RGNZJqDCbS5qXVmGutQ5\n+HiXfP7yzQxxQK6RC+uhvAAVTDUZSm1kuZFQUOQDhcX85qvZ5w0aT5LzA/c3R+jSl+/7KEbXCMRR\nXaQ+QXKJaJKJQtR9cgnwlF8/Bk02Ib5P5qPWsFJUTA7Rfl9SW8S/ShqoKgYoZOiSOo55EPZ6DxWw\ngXAajorS3fw92JFQbBaiv7f3UGvlC6QJoWyW0O5YLo3eYbNEjzfvvQ4scc6dIiKD0Vmdx6HmyLOc\nc9Vpx5joSWNbrrth9BVM9BhG9+mC6HEpbpgO8ZGoRWYUOuhcg751X9a2NK+I8dMHOhJR+YylkcUA\nFFCeTHLchzB+MTqgjndScjJ/v7ggn3sqbqdF2s8hc0ETlAcpuNMJkiDAxngRIHRNi0yOudFSEWSg\nc+igusSX9b5fVqED+wJCq9AgwnibxehYaQUqCFozlw+HFfP05+tZOw6giLJPa5n4EOyz2NdxEGH8\nTabkD4X+ms1sjO1JxWJMHdCJ61yzjxcK5sgJRNAiNONaMGnnp749I9Dx376oVWVHVGQM8X2Q8vXY\n4M8XuOMVobFhL6AxTZ/x52jwfRRHf2+DCeOTcoEmWLo+n+ml7e93jmvkvIUwJkh8MBAVbIFIrPXX\nDqyGwYSpQRxYcI8aUbH1Rgm3H3wLtbvb3DjbLpsreiajJu1i59ypInIrsNo5d6uIXAOUOeeuTTvG\nJehbsS99VXR0VK/0bX21DYaxtTDRYxibx6ZOeChSmYO+PR+VqRRxx8RpVBVnOt81wC1AButFE5S/\nSZgx7j/A/I4yaYlU5uHnTilh2l23UL9PB9nOQAeyglpWXibMSraSUKysRa03mQTXIDSu6XDUDS5I\n9f0ROpgfQzj5ZS46kP8UHTzPRwf7X0aF0P1ZrhFHxUpExLSWgpRALBBQRWhiiUCMBZnYAtGYQ5iR\nLYgv8oIt1Rxj6k4dz3Fz/bWQs96foysZ9xztLUy+tPq5ceJx36ahhCnO8wiFDH65FrWcVaEiaw7q\nfjgUdbk7FviwmP8ZdStrxma631czbEkdk54kjJMKLFWBi18BYUa/PEIhHU2cIEGVOo6vIpWCPIvx\n6dt0O6ZHREajP7yfApP916fis8SgMzQ/B1zb7mDDMAzDMPoU1TD5Cn3bnsl954r0/b1rW5Uv7RCZ\nMiHL+dz3QdrH+rTIVTyRl+SCceiA+Kt4y4hI5Uo0OH8d4QSogftYMbASUsuT1O9zLu05F5jEQiBV\nhQ6qKyA2CI3lCcRCehrn6HoBbTO3BbFFwdw1x/pz1REmN5hDKLAGo4P9CeigugxNCjGCcOAdnRQ2\nL60OQDxw/wsytQVZ2DbQNlYmGjMTuB9K2xKjgFHDZlBVknneoNH1SXK+SWjx6OizyV8zEGuD0aQT\nMajKKeKJvEiiBJKc6GBU+guqqPUtRiikdiO0ukVxkDqwnrWx7Pd71WhoHQrxwGq2Dv0NZbGobbTm\nBRapoK9zwRWCOy/DpYxtiG5bekTkL8B/of8ArvTubeucc2V+uwBrg/XIcc4tzZz1bGtbLbaktakv\nWbIM4/+zd+bhUZVn//+cM5MVEsJOwr4KKIKsKrK5W+tutStUu1erlkXEaFqjg2LApbW2b6tVon21\nda1v/bWKFVllEXBBEAUVCIR9Scg+c87vj/s5zGSYCUkIIYT7c13nmsnMnHOe88yI9/d87/t+TgXU\n6VGUY6c+ba7reryDMO5Q3LS3w2lVfsItpaF6G+bIBgCey1EFTsjm/jbx7sZLnlfXYCkFfoBUuoYO\ncWk5ZLlRx/ae+6LOFwsvLc6J+JuofaIER414x3JjPI/coomck+hzxDnndjuFZ5KPbPecQBk3VZp5\nibW/dZTXzfPtpPBMjHbSCZRxE5IlGZeartHQuO5LXZ1QpelRL6fHsqxvArvMirDjY33GdV3XsqyY\niuq3c8QCAkni7FGfQSiKckrztdkURWk4TDH2+V5L3v3HGDBGH88sdlNZ816sRFwMT/REPnpbGuIm\ntOVw/YpdmUrXUD5bfNGB6QNAChZ5bI1oCLDFN5mnk8r41t+g/2akHmUg4i4kIY5NogyZzUi90kEz\nlhZUXwfISzWLXCDVc0EOmf32Iil0O5D0udEQ2gvO85BwgCMFTjzBU9NWh32y3DL6D7iLz2bcQtUo\ngDT8y8rocz9krT3Wc2Twl//3IO7YIx29Kqbxn8pD3JwD/Ml1f3OQetLayp2fH0OI5CMC+1h/v5HU\n1QlVmh71cnosy5qJdD0JIlZsOvAq0oVkvOu6OyzLygTmu67bP2rfuI0MalunUpdal8aiLuc9HmOM\nNXfqFCmnEur0KMrJwfG4Y25Z9yUBZ8JH16bwxtTobmfTwZ0VlVLnndN0Kot82XOPQISLn+rdysqQ\n9LV9SBMCb02bjUjhvdfFbX+8WiTLsoa2IvXpYsqGgOvUddFW0+o70v2qy/MY75X4wbIh1a3f/tHP\nK/02M/8dv3tfw7gwlmWdlQqL4nRUG9PQraQb2glVGpdjblltWdY4wultDwN7XdedZVnWXUBGrEYG\nsdLbGprmWujfXK5DURoaFT2KcnJwvAPVqMDUSiXjy1IO9C6GmjqVuWBHLiIaorpr4zUGSDDvefUy\n3mOQ6rUhXrpbDGFQkJTCs+1id5j74SHo7B65zxHP4cjao9o8r88+9dg/5Nrcf0H8OW+41LMTIUR0\ncdKTk4ZanNRTTg8B/7As60eYltUNdHxFURRFUZoBJjV+7AyYfUtEoFraQIFqdErdIQ54KXVx1pZx\nXQheAYmRKXQ1BfbpVF94tK3Z2pmtvdmCSDrbzojHnem8dOMsgu1jpX3dxdNrDpLzzRrO78glxu9m\n11Robd3fKKlnDZ2SWctzqtg5CTkpFyeN5nilcjUlV6UpjUVRmiLq9CjKyUdj3TFv7CJ0k36WwRGt\nvENZNvff0RgOyImmsVPPFOVoNJTToyiKoiiKUicaK7hv7CJ048TsN9s673Uj8m4jruvUfDjejp6i\n1JUm9R/db7eFHY2G+FxjHaehiTWu33ZWl0dRFEVR6oPrumtKYewMmJ8GTho4M2B+YzsOruuG0mFh\nfoz3vLSv5uDyeLiuu3q/657vQKIDiftd93wVPMqJQp0eRVEURVGaPSei9iMWp2Lr4+Yk5JSTl2ZR\n03OsxHJVTja05kc51dGaHkVRTha09bGiND7q9CiKoiiKojQiTcV1UpRTiRMuepqSQxFvDPUZ47Fc\nV10WGm1K86coiqIoSu3RtC9FaTyaVCMDRVEURVEURVGUhuaE1PS4MZyLWG5GPBejLk7I8aCxz6co\nytHRmh5FURRFUeKhTo+iKIqiKIqiKM0a7d5WAw3Z1S3SHaprHY46S4pydNTpURRFURQlHiel6Gmo\n4v3GbgLQHFpjK0pTRUWPoiiKoijx0PQ2RVEURVEURVGaNSel06M0DPetle/+N2c0z5vjx3J9zX1u\nmiPq9CiKoiiKEg91ehRFURRFURRFadao06PUi7o4Id5nPRraPWnI46vDc/KiTo+iKIqiKPFQp0dR\nFEVRFEVRlGaNOj1KrTjRDkhD1ufct9Zt0Os40XOjCOr0KIqiKIoSD3V6FEVRFEVRFEVp1qjTcwpQ\nWyeiNp+L95nIupraOh4N7ZDU53jq0jQf1OlRFEVRFCUe6vQoiqIoiqIoitKsUadHqRcno0NyMo5Z\nqT3q9CiKoiiKEg91ehRFURRFURRFadao03MK05DOR0N3RFOUuqJOj6IoiqIo8VCnR1EURVEURVGU\nZo06PUqNNLQbFOtY6hIpDYE6PYqiKIqixENFj9LgNORCoopSW1T0KIrSkFiW5QNwXTfUEJ9TFOXE\noultiqIoiqIoBsuyhra2rPk2VNpQ2dqy5luWdVZ9P6fUHcuyfJ6YVJSGQkWPcgSRC43Wh9+cYdXb\nqTmWfRVFURSlNsQLqi3LGpoKCx+E8cVgF4P9IIxPhUWWZQ2t6+eUuqFCUjme1Fv0WJaVYVnWy5Zl\nrbcsa51lWaMsy2pjWdY8y7I+tyzrbcuyMhpysIqiKIqiKPXlaEF1BsyZAy1+DqSa7efAHGiRAbPr\n+jml9qiQVI439a7psSxrLrDAdd2/WpblB1oA2cAe13UftixrOtDadd27ovbTmp4TzPGqm2mMehyt\n+VHioTU9iqLUhBdUz4EWE81r+cAUKCmFscBHNlQWg50atW8pkAaOA4kAtfmc1vjUjdaWNf9BGP/z\nqNf/BMyA+ftd9/wTMS6l+eCvz06WZbUCxriuOwnAdd0gcNCyrCuBceZjc4H3gLtiHkRRFEVRlFOa\nxmwCkAFzHjTujId53mIGzD4AF9W0v2VhTy+7O7uqvOrNxzLyjuNIa0c2Od5NHstsx/P5cT1P6e4S\nuwjGemI0konALTDOsiyfCknlWKiX6AF6Arsty3oGGAysAu4AOrquu9N8ZifQ8diHqDQ0nkvS0K7J\n8W5r3ZjUZm6ONlZ1oxRFUWJjWdbQDJhji8NCa8taeAAmu6675jidz2fXEFTfalsT7qq4e/Pr4+cG\n85cUJEa7DflA/3Hd8SX5futL8t3Xf3x38t/bTKzPDRjf3bpq/sSD2eSEaCBh4AQdC8D22/H+x+Ka\n7Xg+P27HTm6d4lq2ZeM07v/rlVOL+ooePzAUuNV13ZWWZT1GlKPjuq5rWVbMX+97Ec97mE1RFKUu\nfG02RVGaBnVo8ezVbkSmmY2fIrUbY13XXX3cBxuF67hO6e7S0S2HZY6avnrHC05Z0P4B4JOxMdW2\nyq99YMKXQG8gOOTeMSvvfL9gDBUhX2Sq3PTUBK556IJCIBkoBp4EngKC1EMMzMl4eEhKUUVekcsY\ngHRYcNBvT55Rlf1hgNxGUwjH3ZHzw5+cwPz8GOlt+ch172+CLo+2Kz+5qFdNj2VZnYD3Xdftaf4+\nD5gB9AImuK67w7KsTGC+67r9o/bVmp4TRHNwJhp6DaDo106muVCqozU9inJi8FybIuPapEONrs2J\nqt042nl/6d77o4L3C977742vJBRuLcoEaVAArDwEP3Ndd002OecAjwO9C1duT1r0szfLvvpoZzvX\ncZ1OmS3XjXnqis96f6NPf6AfEAKSkKZR24H5wBrgY+CjALm7ahrv0WqQGkMc1vW7PcZznZUKi+Jc\n75jj5QLWh8acF6XhqJfTY0TNVsuy+rmu+zlwIfCp2SYBs8zj6w02UkVRFEVRmhR1dW2OlmZ2C4y7\n4Y1vp/zjyhfLGnqsB2DyFFhEjKD69DtG/c+25duWvzp2bqu8oJMY9f5ATKpZgNz3s8kZBVySOSJr\n1g2rf5LhBB0H2GT77aeBZwPkHsgmxw+cDowCbgRGA98FvgGUAK2zySklQgSZx88C5FbC0WuQgONa\n2N/Yjpzrumssyxr72NmdF96ybFsKiMNTClOakphoik6lUjuOpXvbYMSyTQQ2ATchTvA/gG5I5skN\nruseiNpPnR6lyVEfh0ddoaaFOj2K0vjUxbXJJseuOFg+9NHWeSuKXaxYnc/SbYtpFXc7tt+uAnYB\ne4F95jHyeazX9gfIDdY0XnOHfnaxbU1wHddJhwWDH5jw4ujs8x54NuvRXfcWHjq9tg5UNjk20rU2\nGxEt+xGR8w/gDwFyP474rAVcDdyP1DtvBboicVMhkv6WAXQAPg9VhT7JS5r53Xjz1Bgd4k6EI5dN\nTkdgw8rHV3SYd8dboaaYNqZd5k5e6i166n1CFT1KE0RFz8mPih5FaVyMaxO3dbMRMJ/bfjsFWdYi\nHah6dfQz9u1LC5JiBY2/H9+dq+dPdAgX8oeACnPIEkQcJERsiUjWSoJ5DAFV5nNVEVsw8tEJOgOB\nj22/3QLo5QSddXmJgcFF7uGUturXYsG0yuzFtt+GcIMBgPZAG+AgcsO32Iy3LVCONHXaR7hOxzLz\n0BlJfdsFVJr5aYmcvsoJOsG8pJktihw39nhkbottv33IvFRqri16fNH/JtbqPSfokJc084x45z9e\noiubnO8A3w6Qe1VDHrehONpvXtuVN23q28hAaQac6HqWpiQa6jOGpjBuRVGUJk4P4AAiCnYDiWc/\ndkmr6ePzkyitoloTgBS/e9X949ciwqUt0AkoQ8RKinnNAg4hTskaYCHwFeAJpZZAmtnSIx6rPbf9\ntg30NZ93gR5YFsS/Eew6IedV228fNNdSZMZ2ExJL/RlpXvAt4NvAf4DPkDbYvYF/mm0PYQE0GLgZ\n6BaqDD3vOu5mf7L/bGCC7bcz+p7duSI/hjjMB047r2vI9ttp5pzliPgrAT4x87IWWG/GGH1Rbpzn\nqcCVSMnCgHgTcZy5APjvCTp3jWSTY00puvOcx1o9bB0xo8pJgYoe5TD1ac98vM53PIlsf300wacO\nkKIopxq17Ujlum6ofcvElfklVaNiBebtWiWtsv32qAC51Y8zAp4tfXroDJh9i1nbr1160geDJ5/9\n567ndduFpHm1QkTOYOBMxEXZhwT4KUAfJDD/rjlqEBFDOxARtA0RJweQ9LEDEX8fBD5AXJbBQIHt\nt9u0SU14I/9Q5chY19LzzI57/En+K8yY2phHHyLQ9iHizkuzm2uOewvwNlIKMBZ4DpgH/A5YDHy+\n+o8ftN34lzVTvvpo51SAnoM77su8st+0Mb8d986Ihy74550XPz+I8iM7xF2bd+FuYDkidk5DnKMQ\nMNJsnnu0w1zrO8D7wCcBcqsAsslJAX4AXA8MM9dVAnxq++2HMhLsb+RXhM5t5G5qFwCPNsSBjrWz\nWjY5CUhK4vXA2UDnpLQkq++5XaritTVvql3mFEFFj6IoiqIotV47J5ucdogb8OMrF04aMX3MXKJd\nmylQUrq//CdHCB6DKfY+3wSm9q6iCmfnb96LGyxmk5MKXI64KBciTsqLiHg4D7gKCdx7IiLAQQTO\nTqRzWhEiEDKQBgN+pH7mC0QsHbzsre+W33nB8w7lQTvyWqYl2JXjbh/5R8Q9iRRPFcArwBNIHXNb\nwqKoEhEco4BvIvU+FcA1wHUAO1YVsnTqPGtWaTA8d2t2tJm+Ye/Tfb7Zt7zrmG7P9f7BmfffM/fj\nX99SGToXJKgurgxNyRrZuRgJxEcB7YBMc06vAcT7wOeIMBwFXIFJDcwmpwLpKJdkxvQp8AfgqQC5\nW7w5n1lx//+L1/ihFKbE+67qSzY5vRDnat2xHKe+a0Blk9MW+D7yfQ1B5rUS+W7nIb+3/362pGBI\nY86L0nBoTY8Sk+buVtT2+pr7PDQntKZHUepPTe2R6dDi/Dt2Tk4GLgEuRtox70DqWX76YMIDX7YK\nurOLjGuTDgsO1KLjVn3b/maTk46InBuBMYib8iLw/wLklmWT09mM8xvAcKRhAIRrevYDXYAsJOUu\nDeMuLbpvwYhNf1r1qx07SgZhQdferb8eOefixX2v7FeJuE8ZhJ2oDDMHFVQXQ5HPDyEu0HmIICpF\nlivc/fLIp6779crC9Fi1Tb8b063qmoWTMMexnaDTCjhk++14TRwOyhSSiThjZyCpe2VInVGyeT+E\nuDku4gT5EIG4DWnG8C7wmid+vMYPdf1u60M2OT8BxgfI/V59j1GXNt/Z5AxEnK6LEKHcEvm+PkNE\nznMBctfHO09jzYvScKjoUWLS3IN9FT3NDxU9ilJ/aupI9fux3UJXL5i0BhEX7wO3IU7JtyPXmqlL\nOlFDrUFj7s5fgzhAw4B/A68CC5Bg3o84PCORtDKv6UFrwk0SvkLqYFYhzk9J5aHKBCz8iS0SLUQY\neJs/4nmqOeYUJGBuYbb2SL1QN/O8FBEeDuIeJDhBpywvaWbaURoVLLP9dibiSC1Gal1KzMe8sSSb\nrTUiqvohble6+UwkLuJcbAc2AxuQ2qgOSNDfBxFNqYhA3IG4W++V7in956vXv7Rx83ubj1vqVjY5\nLwJvB8j9a32PUdPvOLd96oc37ZqyGhGgPZHfwR7gQ+BfwN8C5O6py/kae3FSXQz12FDRozQbjqdA\nuW+tq8KniaOiR1Hqx1G7sFkwteLuub4EXyri9mxAxI9NdREQSxjEfO2l4U8NmbyqsFWs4PTxc7qU\nXrv0ph11OJ6NCAovEPQhTQ28dK8qRBSUEm4k0BPYQlioJJt9cIJOCHFV9iBOipeaFjTn8LZ0JIB+\nGUlp64q4Oq0QIfUF4fS5yH17OkHnsrykmd2OInrWmWYFGYiossy1lJvrtRFBl0j1TmwViIO1HhE3\nXjpbX8QFykBEmM8ctxgRU445Viszv1VmvwTzWdd8bieSErcEEYuFZp72BsitoBZEB++m/fcOYESA\n3M21OUasY9aim+Bm228vQ9IS/+mtidTU0cVQGwat6VEURVGUU4xscnzACODiu6qyL85LmmnjxLkJ\nallYtjUp4pURiKvitYGuQAJxz9EoQtKtvBQsr9tZMVBcWVJZvGlV4b/jLlD6fkFK2d7Sb6a0TS3n\nSKERivVagNxqg88mpytwA9JdbQDilGQDSxFHZF2A3J4Rn7deuf6lyw4tLXh4x45Dp2NZGaeN6dpq\n1JyLu2QOy/QjYmkV0hBgBSJmJiMNC64w1/gvYDqwxGsWEGfeL7H9dma/0V075y/a4otVEN/j9PY7\nbL+dhXR8e8Kc+3TgMSTwrSTcXbvIjO8AUqfTDnGYOiKCq5SwaNtnXstA0vowj63MXNoRx9xrjrsL\n+Z7bIQ0T2iKpg1eaz4YwIiybnCpzjl3ESMNb85fVLT+8973rbbkW2iX53z+U4r9jyoE7K4Giugoe\ns/5RR+CC6ZV3f2928oNxf8eu4zoPJQR6n2wuiS6G2nCo6DmFaO6pWg3Reru5z5GiKKcu2eR0Q2pd\nLkG6ZBUAb9t++750uCcfxsYKwPuMyDpk+2wbudPvIkF0IuISVCJ3/ysRt6E1EoSmmi0RCYi9SNT2\nJ/sty7aIF5xatmUltUpea85zwAk6+3DZbSfY25HUrC2Ig1GIuA5eUH6YALlbs8lZhYiQO5DA/kkz\nvv8HuNnkWJ5Ymmndf1Yq/ONwup3rkr9gizV15NPu+c9cOWfQxDMHII0DLjWn8BEWEU8gaXUfx3IO\nLMvy/arg9sy0zuk3AT82Y/7PyIcvPOvOcXMzqQz5j0jx+2TXN5DUsxykzsZbl8hCHJFDSCraX4DZ\nAXILo8+bTY6Xahdr62AeeyH1TWnm2J5YdZHvrh9SF1VOuF5pg5nvNHOMtojY8lIBs8zYyhHxVASU\nbFm4xVpy21uDZkU2iqgMjZ7ut1cWfrC9InN4VkU2OSuIvwBtESLOMpF0xVHmXD4AX4Kvsu85nSub\nW2e1DJjzILSIvCbzvMUMmA3oYqi1REWPoiiKojRh6pvHb4Le8YjQuRgJTuchjsTtAXK3e5+d6dy/\nJ1ZHqunJfufyB8YvQdr2liBB8KVIoDXMHLMCCTwTqZ4qVoEIkt1IoF8I7LB99sEuvVv/KP+Lfd1j\nrkEzthu2367cvnI7yye/3enzpQVdAPqN7ho659GLQ52GZXppbY7Zzc4mJ4gE2SWIowRSU/Me4k5s\nA+5FnIxvIuJno6kjeTFuYOm4KbNmLv7OoIlnFptr+juwCREgk5C0truQup7UbHK+RNYOWjbvjrdK\nC174dIbP4swnu/2Obv3bbu9wWZ+pF8y+qAswrfPZnW8trgxtPNy628LqP6679a0Hz9/X+ewuf0dS\n5fxm3r40c9vZTNOfENF1J/BpNjnPAw8HyC3wxh8gt8TMx9cchWxyUoPlwRtsv32T7beHIOmLKxGR\n0wFJjeuFCI5+yHftCeCdiEDbTlgMdULElLd4q7M6572kWeVBjpjj0iqemPZO4lXzJyYgtUWl5jg+\nM8/JSJvyWDGr5yztBdqf89glSXee96yPiuptvqfaVlnXa/vnZZPTEiiJdgabCsYJ9Oauc6gidHqx\nxfiJMUY7EbgFxlmW5TvZ3KsThdb0nELUpXhfnQ7lZENrepTmRl3z+E1dxGDCbs4IZI2Wt4G3ISBH\nPQAAIABJREFUgA8D5Dqx9gVIzkgekVYZemxfWfBsy8I6bUw3Z8hvxq3uOqbrV74EX2ckEMtEAuFt\niFO0BwlM2wDdkcB4PRI0f4k4B+2RQLmveUwtWLp1++sXPd93VmnQinY5qlomjOs4uFP6vqVb35zj\nklKtfXSiXXX56ze+2fuyPl5aUztEeKUjIqvCjCcVcQZcws0LImtTLPPoOEHHzkuaacWtr7Fw7zhw\n5+ik9KTlkfOXTc7bwCNIa+hRSH3POKBf4QfbQ6+My0+eFdXK+85kv3PVW9/7pNvYblcFyN2cTU4/\n4MdO0LkUOM3224lIIO8iAvXHAXJ3RJyzH/BLpOvYIsRlWgtMRRY6/TvwUF3SxKJ/Z62T/cvGPHvl\nyoE3nn4RIjbykU5mmyLGkQacA0xAHLAzzdxuRQSI1yGuDZDlBJ32eUkzU2tRw5SE/MYcsyURFlgH\nEZdrmzl+K8Tp6YoII4Cq7Su3Vy6fMi/p8yVbEwD6ndul8uxHLi7NHJHlIyzID5nj7Ud+w7vNsXdy\nZGe8vcC+2tYrxSObnGQz3i5m6xzx6NWDeTcRLCDJCTpWXlLAKnKIOW9p4DiQqKKndqjoOYVQ0aM0\nZ1T0KM2J2nY3yyanE9Jy9xLzeICwyFkQILfYfC4ZCa68QCvW1g7Y5QQdt3DV9vaLf/pm0Vef7GqH\nCx3apHzY9pLe9171v9e8U1PwZ84zHBiNiIBzkeByMVL4vhgJNF/bsmhLyqIf/V9awcZ9PbDgtPO6\nhUbNuehQ5vCs9S8O+lOPaWt3d4rV6GAGzN/vutVSeozgywAeQJycXKTWpB1hYeQ972rmwQLKnKBT\nkZc0s81RAvJS22/vRtLqPgM+Bu5BFiD1FjodB/wMmPCPIX8OTvloZ7uY3fDGd3evnj+xFAno/WY+\nliGCZQvwe2QtonuQrnS/Ax4JkHso4npbAN8DbkVEwR+AN4GfAD8FXgMejBQqsajpd1bmt8bOqLrH\nQkyF7yBpbfnASwFyD0TNv2XmdRTh9YOGIC7T8mB5cOXslAefLAarhjk+YBo3eF3nys3+7yDrMn0M\nFMy07rdv235H55aZafcii4fmmTkrR9ywVkCGU+U87rrual+i70PCLca9RW+9tLzW5jWv+54PEZ1e\nnZJFWDSHzHA9wXQAEUx7EGHk1aAlmWN5Lc09odMKccN2ms9aiJbJMp8rI1xT9SHw5dbFW0e8Me7Z\n/g85UNv/FpT4qOhRmjRaY6PUFhU9SnOiFq135yFCpxvSnnk14bSryLvI3paOBFwFcbZtSCD27JaF\nm7NeHZ9/2hyX1GNpJw2HxUh/RASNRtbV6YbcVf8jsHjz/K9X/e3858rvdu91gPaVxRX9H0l/+L24\nAbIFU8vvftyX6FuNCI5NSED6P8Ag4PIAubtrGNMIc+7LkRqb77923rO9bluy9YhakD8Bj4/uWnHt\n4h8WIWlbSeYt79+aIGA7IcfGxbH9drETdArzEgP9i9zYd+dNgB+y/ba3vk8qEuyuAJYj8e23kNS8\nXsg/bxcAM4E/R4pOIzbOQ8TXxYhweg5JQfwlIoRmBsjdEGsuavqdRQbU2eQkAJchAshbHDYfaTEd\njJrfDOR7GIKkV54FdH19/FzfrxZssWIKwXHdnKvfm7QAqbf6X0RI9EecyzOBwdtXbBu6fMq8Vp8v\nLfAD9BzcYV/nawfcNfqeMc8HyC2LOizZ5KwBfhIg94NY1x4Lc52RAimDsAvTwzzvgDhYLRHnyKu1\ninQQD9ewERZQLmFBV0HYyapAFmRdhrQlbwn8Gkid2/kxJm0vHvhn4H6IXgDYKYXh2sGt9qjoUZo0\nKnqU2qKiR2ku1LL1boHtt21EzPgJ187sJtxxa0/E316qlxVjA+iN1Lwse6bTI31ydpYMihWc3t+p\nxSc/LJycE2P/WMeMfq0FUoNSiLQ69lLeuiBpURuBjcGK4JezUx6cXezW6Aocsv12CuEg0kWCSC89\naRci5LYhd+W9u/Y+xJEZa/5eD6xZ//K68nnffe0neVVOQrV0tCRf8Jp3J37V5dwu3ZB0pwKkZqgb\n0KtwVSHLp7xtbVi01QKpRxqZdwHPjXqGozhHru23I4Nhr/130Dy3Cder7EbSuboigfhqpCV29Byn\nmPnsa8bo1QH1M/OynnC9kxWqClmzk2ZeG1ecWbhTymbc4U/y76f6gqsuInxuRH43y5HvtBMiUNog\nKXcfI6l/GcCQ7Su2jXp1wnPto1P+pqcmcNV/vvth1zHd/tcca5WpRzpM6z5tzg1uOfhe9PczPcXv\nXLdwUlXm8KyvkcVVP454XAd0DpB7kBhkk+NHUukibxB0jnrMMnPv3RgoiPM82Vz7YGAoIvh6mnkp\nRoRRBuH0tRLk+7UQ4ZNijnF4bSUn6Dh5STPtIsflM+C3SLcMEHX7b2kFoqltdUBFzylMQwqKppgS\nF+/6ajNWFVsnHyp6lOZCrURP5d3YPhvCd5WdiC2yrbPXVroK6bBWaV6L3NoiC1Oud6pChXlJMy85\nikuxwwTssbbI8zoR57CRQHAPEhBHnt8lnHLUEWj/2thnfbct2npEO+c/AXmnt9/27bU/f8Psl4K0\njK5E3KMMRAimIsGkF0SGCN9przJj+zDiubV10ZbWK6a903Pjyu0tAfqd1zV4zqMX02loJoRrVA53\npCv8YHvw5fOe9T0cVTQ/PTWBDv3bulNW74jpajw6Mqvo+uU/eotwq+h0qi9umkQ4zSkW3ve9DxGL\n3npCnrg9FKoK9bYs6zzbb7dHnECQ5hPrkTVqNleVVfkfafHQ34riiUsLd2r53X/0JfpaIe5GJvI9\ntUIC9Mj1kTyRth0J8r2UwmTz/g5gzUd//fDDFbf/58K9h6pGArTyWYuuXv6jUZnDMn+J/D5GIS7R\nF4gAWgl0fnX0MzNuX1qQFGs+77at934Ruuc2IlwhxF1qh4ifnWZMQeT34gmd9oig9ARMLFGzLdJF\nyiYnEWmBfmbU+RIQsfUpkqbWCmnKMNRcy0KkBmtxgNydEcdLAL4L3G2+w/uRdL62FUUVPR5t9fCS\nSMfTUzcV1FzPo4uYxka7tymKoihKE8J13VBry1qYHyPtKB/oMzyz2PbZbyEBck8kgEtCAl6v81Wk\ne5BEODXLayHtiQBvkU8XOAPL6odlQc03RLeYrYyw0PKwCddBeB3dWiFNFfabMZ5GuCOX92gj6XVl\nwO5ReRfZ08/P70RUo4PpKX7nit9f+qX5vA9ZK+ZzJKj0Fur07py3Jewk+QkLRC8daVTE+O2uY7q5\nXZfdfNAJOptd193sS/BtRtynlogzNBx4HglKb1k2ed7ZD1eEqgkzrxvZwy6h6akJfo5oZOALXf/k\nN5KA6xDBsgwRXx8ijSZ2mJTALUiKm4ukr41AxEAvwqlT3no8h1OnClcVhpZPeds+7DyN6eqePefi\nyzvJWkNFyG/lfqA8ISUhsc+IrJL8FdtbxvqddT2t7VZfoq8PEtgnIwLiPfPouThDkXqfMchvsZc5\nRBniRq1CfmsZQKvBNw/55uCbh2Q4QacISLf99kjzXU4hXCPzT/MdjQImOUHH/mLZtsMOTyQTgVtd\nd1yoKnSbL8EX2SQgjfCirO3NdXs1NoWIW7bCzPvHwJYYaz11BM7LJmcwYYHTz1yX5yg9hQjh080c\n3IS4mIuAh4ClsZymbHKSgB8inf++An4BzI8YQyHpFD7Nwwsi/x3wFHy8FtxeUwrba0phWbqIaQTq\n9ChH0BRdm2gaeozq7Jz8qNOjNCcsyzorFRbFKDAvvWDulY8Nmjj4CiS4/xPwLBL49onY+nrPnaCT\nBmyy/fYXSBC/BQlEb0fSwP5gjtUW6PDi6X/84bR1ezJj3VV/Ynx3rpo/0SF8Z98TKiFESHhCyxMf\nPvN6iRN0CoEi228fQorBI7cSJEit8vb//J8buq/Onn/+5nW7OwP0GdW55JzfXVqeNSLLc0O8+okg\nIvbKzf4JSNCbTHidmArCBenpiGCM3N8LHr02yZg5taOe24DrBJ1QXtJMf00pbNe+ccP/rbjj7TO2\nbtrfAxcys1qu63f7qCfPufPcj5B6rFvM97Ee6Xw3GHGsPkRSxDYjzQw2BsgNQbUaKa9hgFfXVVbw\nfsHu1y94rtussupC8c4kX/CKN7+zpMcFPfsjjo1lrte3Y00hL583l1gpZ9ctmHgwc3jWLsTx2Iz8\nVloiorU/ks5mI0JlNfAG8JKZgmuQlt7DgJeBuYgAOBx0mmuZY/58BhEl3RFH6nLkN1ToBB1fXtLM\nvjV115tSOuMWf7I/skbtGmBUgNwfRX7eOCunUd2lOdNc13ZzyCRzbRZHpsztQwToWETk9EAcqYVm\nWxGrviji/KlIs4lp5niBALlL4n2+hn8HSkphTKSYqW3zk1MZFT1Kk6KmlLTo1+sqVCI/7z33qM0x\n6jI2pfFR0aM0N8xd29lFUoNCOiw4AFNc111jCtjPRYrVv4F063oysmg7uhVxp8yW60c9fsn8Ad8a\n2AcJLD0hsAkJvr8ANi4JLGblvfMfjdXIoCLZN3Z62d0bkRShy5Hi9nOQdKC1SHBsIQFsFjB2+4pt\nJcsnz0v7/P2CRBD3YdSciysyh2V6BfBerY3nDkWmxYWcoKxiavttT5AkIMF2CSJ0EpG77Y7Z/yDw\nCRKMHiAsrIrN4zCkwP4XhDtuOYhIGo/cgT8bEUup5nwlZpwtgXIn6CTlJc1MrEXdjuMEHQewbL/t\n1d54Qsr7H1Hkv1uRC7l6c2EjYsirBSk211iCCM4qoO/r4+eeFq9RwBMTunPVuxPLEYFiI+LHB+zf\ntrwgefnUdxK+WLo1wXVwu/TM2Djq8UuW972iXwtgoPkeW1A95c5zzTwBVU64q5lXh7TDjNXr6uYH\n5pvvxWu4cRMiUtLNebxjf4o4MduAHS8MeDLnzs/2dqlDN788YE+A3FlRr3eguuAZjLg3W825PNHT\nEalX2oHUiNnIbz6FsMBZBKwJkFttYdxYmBbfv0QaFCxFxM6qo+0HNf87YN73AWTAO7VpSnEqo+lt\niqIoitIEMXdmz/eCmshUFnPHfAmwxARyNwMvZZOzB/jjk32e+CwV3n4w8q5v4aHTp33vtb6turUq\nyhrV+bIAue+axRojHaJRo7PP69Pjwp4lv5/+TvKti7bauC5dT2u79fy7RuefOWlwe8J1MR8jQeF/\nkLvfQ5B20V7tUEbhqkJenZCfPKs0GHYSFmyxpp37jP+SF6994bRr+m8lXNdjEXZiMszW2vbbGRF/\ne6lpu5B0uRaIMClDajfKzP7DgZGEGznsQ4LyJCQNqwPSKawl4gqlEhYfLmGB9IW5xlKkvXE3oK/t\nt+0+I7NK85dtS42VGtZzUIddtt/+BOhn++02SLvnnUjw7BXKJ5nX9hPuCPY+khJWDtyGuHhBxAHp\nggTjHZCAvMJcb6UTdEIbFm214qaALdjCFSEn2fbZXbzXd6wuZNmUeW02LNwCwGljujEy7yKyRmT1\nRn4LnhPmNVTYZR5LCQtFrwNZGuHapD7AGYgY9QSqx/fNBmFXrwQREyEk3W8eIsQPYByxc//4jS+m\nXvh8O0JucgwXY0qMyz4N2JZNzvep7ugkI67NR0it0++AdQFyS43z5KWpjUWczxaExVspkr43Dvkt\n9ASGZJPzEbA2uvkCQDY5rZHv8VZzXRcGyF0bY7wxySbHd7d77+fAt0t2HmphJ/hSU9qkpAAdLvvT\n5dmfzlryQ59Fb9eFIoj7/esipoI6PUpMGtvVqM9xo/dRx+XURp0e5VTHrOZ+KfCL18Y8e/Fti7cm\nxLrre0+Kf+me0qrRZp9kpM6hg3mM3DKdoNMdyLT9djsksE0gLFDKkMDUS4H6Eqnz6IGkbgVfGfW0\ndUeMmpH63H3OJucXSIe5fGRRzH6Ic7AUuRvfmrA4ykDuzHcx15JOOG3Nq3kqQ4JaL/DeiKSWbUEE\nBUia4BmI47ETcSC+An6+ZeHmD9+47IXhMVPDFk6qyByW6S2qCdXdnENIXclWJJguN2PriNTtJCLi\nog0iKPZGfH6LeSw0424HdHWCzul5STPH1ZACxrTK7DW23+4AtCpcVZjy6ri5vodKosbeIoHrF06i\n09BMh7Br4xIWMN5jgjm/31xbdG1XrG5+kThR77lRrx2xT+GqQmf51HnWhoVbLIC+53QpH/7ghC1d\nzum6y/bbleZjKchvuZeZp5WEa6Y+Agq8FDuT6nYWInDGIi3V9yEOjufmfBWj1qcdcFaoIjgC2xrs\nS/ANRITebuS/gS3IfxcDEBd0LXKDosyMrxXVG1i0RES3V+OWRHVHM9L9swC7cFWh88rYubb32wsh\nP37PmoxEFzENo6JHiYmKHuVkQ0WPogi1bHm9zTgoCYRbXR9t2wUcCJDrmtoEzxGIrCEagNRDbAtV\nhdbMTpr5zXid4GobiBkxNxdpWgDwrvn7zQC5lXF3DO/fAmkGcCnS6a1XxNtFSD3KRnN9iYgr0J9w\nu+JS89l0INkU4WfYfrtq6+ItXyz/9dudN63ekYHr0qV36y8H/2bcS2d8f9BaJPAtIdy9LgtxoMaZ\n4ycRDvT3Em5EkYo4SpXmM1sJ1yGlIAGw1+7aq6FyXhs717pt0ZaYHe8eP7dL+bVLbvrMHLv96+Pz\nW/9qweaYC16axVMj/y11EWFWStgBqwR8TtBJAFLNoqJpZjxeKmHk5qUievUunvuyGxGRvREhUIn8\nJj9HxEOiOe5hJ8kJOik7VhcmrLjzv/4Ni4xLNbYbZz9yEZ3OyqQGogNez8mK7HLoRH0uMiXRhzSL\n8C+fMs/2zt3v3C7Bsx+5+FDmiKwg8l14Hf6840QudOq5pGWEUxWLke/+AOL67Ud+DweQ778N8t9U\nF+S32/PVc5/h9vcLkn9OuBjtaiTfVNPb4qOiR1GOERVbTQMVPYoi1FL07Lf9NkgQbSF3uPdGbbFe\n817fF13LkE3OucDriMuzrqq06rQ5LR96uab1dqaWzXjMl+h7GwlyN0cudJlNTn+kvuZWM8YA8Jea\nFh41+yUjNTnnm20Iki5lIy7UOiSg/q5572Kk8N1LydqBOEhPAwu9MVmWNbRDq6T/2VtcORygfevk\nNSMfv+SdM7436GehytBTruvu9Cf5vQUt422JSDB7AHGTUhFnwkXcm71IYNwWCXK9zy9C3ArPadph\nrsdzCjqt/dsn57x78xu/zquMWssmNYHrF086LAickENe4syjrSNUZNZB8tyxEBKYVwFphR9st9+/\n7S33i2UFyQBderf+atA9Y/73zEmDNxJ2afyIc5FKOGVxBCJ4dptr/Nq8156wq+Gd0yNyfSnHuBz+\nIxy2Fglct2BSKHNYZpWZtyLCjSk8V8qJOB7Ebg3uRj0/vO7UjtWFvDwmduOH6xdN8tqbRx8rcrFS\nT0A5hOu0ysxz79q97oMpiCDai7iM24HNwfLgl7NTHvz9QrAeQnJLQWyqj4AHOWIR0yOaHpyqaE2P\noiiKojQjjtby+rTzuoZsv70VES89kTvsnwOfIUHoTiRobIukXA00zyO31tnklBAWQi4SzL6F1EV0\nSkhNSOt3dpeKfHNHOnocvYZ03OdL9E1EGgpUAsnZ5GxFgsC2SLBcgtTDXBAg90Cs6zVpSiMQgTMB\nKZpfi9THrEUCaj/wP8BzSP1TX6SL1nWI+zIP6SS2DnEgzgN+D3TNJmfFZ6+s35SW6Lv5voMV/sMB\n5d6ys6b/9M2zircW3fruXf/9Q5yvI3qsXgvv6FQ875xnIcKiwIx/gHn/m8iNfAg3bPAC5yrAOuN7\ngxLb9W/nf2LaPG5dcNgBca/Lu7C401mZLyKNAYpDlSHLddwXiJ125mEhYqscEVXpZszsWF3IK+Py\nqwf+G/f3nH7Lv7M7DOoQK/CPxkFSD32I4xXtXHlCw2u77nXnKwFYdvtb7WaVVlVzNH4OUFLF76fO\ns6+eP9Hr7JcR49yRTSS887pRW7zFdVk2eZ4V89ylVTwxZR5XzZ/oGS+RQidSREVeXxIiClvFn6rD\nqXCH3Uk7wQYLrnal9/jfzev5SPeOycAtJtUwHRaURjQ9ONVRp0dpdI63M9LQi656x6rtcdX5OTGo\n06MoYUyr2yVzICXqrm9Zi0EdLvrJxz87E+kmlYgIgU2I03E2IgJ2I122liPF5R8FyPXqXLx2w+mI\nOLkcyAWeQFLE2iMF6GcWLC3Y8voFz/WeVR60o9bbca9663sfdR3TbQsS1J6GpDglI8H2JqR430EC\n3iwkzWuj2cqRILwPIhQ2IWlv85FA9vtmXG8gYmepOd61SKvuDsgina8AbwXI9VLYqpFNThvg0lfO\n+etTdyzbltJQqUPRi0eabnxtEHfnMqQj3zBzLclIMwav41pkGlwK4bqaw26CE3RCgGPcPG+NosMB\n/+sT8q1fvRc7ve13Y7sFr1kwyXNLvKVhys15E2pKjZtzVqe9N6z+yftIrdFAjJhFHIt3zRhGm+v0\nqDDH9wSDTbh+yOvoB9TapfKu22ujHqu+yHN8ooVJrKDYAnCCjnW0NuXTKu4uM1367KgtGq9DYSky\nrwfNVmmu11tnqjPi6q1DNM1HwJonrfvffxAy4vwe9x+Q/wZ1cdIo1OlRFEVRlOaHFQL+AvzKvHAm\nEmnt/mRXWYDcP2aT8yckAP0F0gHrVWA6srhif0QAjQJ+BPTJJsdrA73MPH6F1KdkA5cFyH3fLOQ4\nFxEoveae+9ftVvkzQ2fA7FtMy93WSb73e08a/EjXMd3SkbSyC5E6hgVIPcjpiJCxkIC4DeJmtEcc\ngouQgLHSfCYZCaJvQNybCqQz22XmeFcgXbq6IQtfLkIK1O+txTwOdoLOrI3Ltx3uGhbJROBW25ow\nI3jPAttve2sg7UWC1tSIrS3QZuuiLVkr7nynt8+WjL/Tx3UPnf3oxW6noZmR8ZjXMa0SCdz9iOPm\nNQtIN1s54sx9ara9iEtWbvvtlmbe2iPiYwwiSNsABUPvG7fvzov/NoSKkD9SjE5LtKsuv2v0G4QX\nFG1j5rwN0N4JOmxYtIW4c/HRzrZO0Dnf9lfLrHSReqTvmb+9gH8PUuD/mXl+MGo7YB6LzOcnuI77\nK6R85QhCgOu4Lq77X8Qp864jcgtS3cmJfoz7XqgiaLuO+6+I1+INI4Skonnd7rzObxZh97QN4uC0\nJLx4qrdIsId3nh6IYL8UwAk6FNvYEyPbRhhMp7ZWoIInFur0nIIcixPRlBoZnChOprGeSqjToyhh\nWlvWfG/NjshVN2tY18Rre/1zJFj7I/B3zwExra2HIyLI21oiKTp/RQLMMYjomAo8F931yrIs3y1f\n/6p9q+4Z30UWrmwD/AMRWwXInf2BiDPzHyRQvBBJwbORAPIL5K63gwR33ZHUnzZUr4vwWltDuDOY\nlwqWgAS/+wmnGnmF6t4CpomImLKdoBOs+Q4/TKvI3mj7bU+MJCDCK2iOmQyUbFtWUPzahOcyo12v\nqbZV3v2Ggd+6+oVrF5j9BiCB/aVIN7dUM05v8UzP9eoILAZ+HSD3y6jv00KEhpceNRkRko8hjlqP\nze9tHvjBjP8O3LhiewuQZgCjZl/krZ/kM3NQRbgG6aBT5RTnJQUuiNecIt22mFZ5N7bPdhERtgcR\npEnIT3E5kkr5HeBt894ZSNezlcAHZltr5sFbBHQMImAX5nd7fFT21qLTPJdjNfAb4N9mkvqP6+YO\nvmfM2z0v7HVzgNztHAMmddJr0DHw72f+z61TP9nVMZbDcl/blNU375l6SYDcPfU8l41Mq9dG3du6\nmTF0RToqtstLmjk83u9RO7XFR0XPKYiKnmPjZBrrqYSKHkURjtbIIA3cKYfuujKhRYIfCWyjtzOR\n+pKuSPD5CVJPEfmZfkgdypdIUN0RCZQrzGkqkaAf8/kWSODrpSpVmc96a/qEkIAvAxEoISTQ3oOI\nsHLCTk97JAD2gvLViCDogYgmELdqJdIcoJPZMpEUsT4R1+EVk3t1MsmExVIFIrJKXhr+1BmTVxXG\nTCd6fHTXimsX/3A1IkQKEHciDREn/c227oUBT3aKt8DmwwPbbfvOp78oRgSJbc69Aanr2Y24bVPN\nXLcFhiIipqcZ735zrd4cpptri3ROTkPcuVURrx0IlgeLXMctSkhNqDD7tjNz1RWpfepn5mcrUPTS\n8KcGTV5V2Cpm57ex3UJXL5i0xlx7JuG0uz2IK7XNXN/FiCtVbL6nAvPd9DNbGvKdf4m4Qa8A7wbI\nrTKpm4vmQItBiDq8n+rF+3cm+YLXLfphadaIrDeBxwPkLqcGsslJMfMzEBE4A8xzr/X1emD9h0+t\nObTgZ2/ePduJuV5QozULiLypEYl2aqsZFT1KrfAC/WiacuCv4uTUQkWPogi17N72ue23DyDuyX6q\nCxBvS0W6mw1FgtUFyF34c5GUsVyk7uQqxJ35F3JXuj+SojYcERsWUpfwJtIcYB0SFE8w2/lIsJ0C\nPAn8Afgy0ikyzsW5wM+Q1tWfIkJqABJU7wdeRGLQD6Ndpkiyyfk9IpLeNtd3JhJod0MC/TTzUdfM\nQ8n25dsqXp2Q33FW2ZG1SdcumHQga0RWmpneWF3vDoYqQ2mzk2feVqNDIvUg3mKfVVQXLGc6VaGF\nLhT4EnwHIl4vR8TP1Yho2AA8AvwjQO7BqOvug4io8wPkflLD/LRBBK23oOdgM897gJ1bFm2x/3nx\n34Y8HKtO6+3vfdL1vG69kNqqAPJ7ORupUToXERYdEeFTZjY/8l1WIEJ0MyJ0NiO/nW7Ib6k7IsBX\nrvnz6t0fTJ13eVlx5ag8YrdpfnhAu4LvrPvF/yJpjzuBx5HvvC/Vhc0A5Pe4CRE36yIePw+QWx55\nbMuyhmbA7CKTrpkOCw40crOASOGnndpqj4oepVao6FGaOip6FCVMTXeCA13T10/ccvv/EQ76OiN3\n1NdHbRvMSvVJSJezXyKpSC7hOqD9wI8D5G4ByCanM/ADJH0tAWkutd6c52JEDCUgTs51XlqsAAAg\nAElEQVTnwH+RuP+HwBUBcldFjtesaP8D4Kdmv/cQN+ZSRIi9gYgML7D+BHgHcXoSkPSpzubRe94d\nEQubzDEKEDdpvHlvMlJ0n07EGkRfv/vVsNX3zB/+xfLtqQC9hnY6MPT+8fN7X9pnOdJcYQdhl+cM\nJDWtH9DbCTpZeUkzU49SBH/Q9ts7zXexAQnU96783Yr0L59eM+3rT3a1d13cVra1eL/j3hEd2GaT\nMxoRnz3Nd/QGIgTf8ppQZJNzM3AHMBJx4vpSXdwMNtf9MVI0/5F5vjZA7iHvXB0GdTgvtSL0XMGm\n/T1wXXoPzyoa/cdvJGQOy1xr5qAr4rwVIm7ZFjOmNkjKYjLioATNfLVGRG8lYSFehbhaLZDOc2vM\ne8nAACfoDM9LmtnnKAuyHjALl3o1YQmI4F2KtAD3BM6myHbptSG6GUVj0xTE18lGvUWPZVkzkO4o\nDvKPzE3ID/PvyD8aXwM3uK57IGo/FT1KNe5b6zaoMKnNoqUqiJofKnoUJUxd7gSbdW36EXH32wk6\nA4A+tt8uJCyCeiErzO9CAvo1wJ2Ie3A1IlyGAy8j6UjJhNtId0MaCMxHAvpWSOB9PXKXfYN53+sY\n1wqpD7oKiTHKkLbUXyGNFL5AXIFoUdOBcN1OsRn3EiRwLzBbDjA/QO4z5vqHAS8g9TG3RQb3sRjz\nm3EJw345vGuLji16mTGNQByMzohgsAin73m1Qmv/1vcPbe/auK9HnHqQNTfvmfqqmZMzzLXsLliy\nteS1C5/vfYSrkprANe/+YEfnUZ13cKSz1B5x4hwzB5lIS+6VZly3m+8mDREA0QLn63hOmRHAPwPu\nBj53gk4akGb77ceAZ725yyanCyIiL0NSJTsgv5tK5HdUhcSJn5vtC0QEdUXcw+GE26m7hBfxdBAh\ntDNUFVoxO2nmjUU1rQNVPiPfl+ArQ8TdcOQ3G0Lcy1eQ1Le4rtfJwIkWXycT9RI9lmX1QO6CDHBd\nt8KyrL8jnVJOB/a4rvuwZVnTgdau694Vta+KHuUIop0kFSNKXVHRoyjVqc+dYLPPnCIpIKdti4SV\ngx+Y8OLIO0ZdiQSNPiT9ah/ilnRAxEcB0nzgELLvacjd9PnAuysfX/HhvDveCkW0aPYjaWzDkA5u\nfZAW01cgdS3eyvU+wg0K/Igz47kzBRHPvccdAXKrTAH6OKRF9TVIXYzXovpuJNXuBeDXSMe6XwXI\n9ZY8OQLjOHnujbedgYixLeaxJRKoVyIOwk7zvBXQt3BVYZ9Xxj6bOKs0aEU1MihLPb39Rbs+3rkk\n4nwtgJF/6/PE03dt2t8zllC6N9X//k9LZtyK6QxnHtuZ+etlvoN2ZpfIfxvLEVG4BhGFNS1Cuxep\n57KQxVwfQDRFK8SRegRxlHojzQbGmq0lImIXAQuRludBIzCfR1LyeiNi26sb8p6nIyLoC0QQuYhT\n2B8Rgy2963l9fD7x2mc/OiLz4PUrfuxDRPnbiKjtj5T/DEbcuV6I0HsceDNArgqHZkx9RU8b5Ed0\nNqK8X0PaQf4eGOe67k7LsjoB77mu2z9qXxU9yhGo6FGOFRU9ihKb2t4JtixraCosjHaHpiX6qq5b\nOOlA51GdbaT7lx/J7khCUpnaIzU5FnIX/Wsk2P10+Zz3q9Y+sPgHuw+UnwVYnbu1+mLU7y5Z2u+q\n0y5AskP2Ig6JtyaMt07JVsTVOYjUBQ1EGhssj9hWB8gtO9r1Z5PjQxyq6xAR1MaMr7X5yHcD5H5l\nPpuMuF2RwmYQEuSvRURCKWGBM9Rc72JvC5C7Oc447Jev/cclRYu2BHbtLRtiAT0Hd9xz7h++caDL\nuV26IK2ZNyLB/saqsqpNc1If+ttRarOW2H57j5mzTDP2QsKuzeeI0/JtpF7qLcSV+7b5/ALgk1Bl\nqARo40v0eeLJ29og342HRThlLYSI3h6EG0osRdILlwfIrYoxB3cC3QLk3hrjvSRE9AxF6n/ORERJ\nO3Mub6HSQkRoVm5dsjXrnxc9P3BWWXUhOT01gesWTirPHJa5yny2JXJjvgXieq1CaouuM+95i6M+\nCvw1QG5R9PiUk59jSW/7KbJ6cRnwluu6P7Asa7/ruq3N+xawz/s7Yj8VPScITemKj87NyY+KHkU5\nNmqqA3r8nC6l1y696WskwN2PBMMfISlTXyCuQE/ErRkCWIUfbHdfGZefPKu0iiNSs975fkHnc7qs\nRILbNCSg/S/ivrwZILdaarxp59sXaZXtrR80AHFUItcO+sJLzYol9kxDhI/MsbzmDd5ip1lIev5G\nwl3rtiKBcn9EPAxAHJJFiMh5P0DuvlpPsuGsnw71j84+r12r7hkdEfGRRdjp6Al0doJORl7SzMSj\n1AFttP12GeGuax8izspiYKk3tmxyugMzkZSzHOBZ4K8FS7eet3zKvE4bV2xPxXXdtulJq3aXVP3U\nqQqtySbnHEQo9UKE7nrke+qH3PDeijQ3KEEEcKTj1NoMM9pFGo38Zr4y89oGEbXdzBx8zZHNBDYE\nyC0x311bqrtC/QqWbB38Qfa7vTYs2uoD6HtOl4qzH7moKGtk5xaE230HzdgPIa5glbmurxFx2Apx\nqMrNuPKBRwLkboz1/WlK2clJfZ2e3sD/IVbmQeAlxDL+faTIsSxrn+u6baL2VdFzgtDAPj46Nyc/\nKnoUpf7UsuPbQdtv70KCyHQkAN1F9fSyAqROpMtLw/9y1+RVO2K2eX5ifHeumj/RNccqRFwCz0lZ\nB3wWILekpjGbNsNDCYugUUDa5vlff7b4p29mbt24rzvgtk7yLRv023HPnXvX6DSkwcJAJOgtRIJe\nHxJ0pyDCaxsiIEabxyWEnZwPort5RY3Jj7gfXsvmeFtHxNkpRAJxF6mzaR/xXvGro5/JvH1pQVKs\nOXxsVOdD1y272UJuPm9EhEQV4lx0RYRagRn3ErO1QVLS0pblLX3qg98sePwIlyTF71773sSDWSM7\npxFeEHUD0kRiEbAoQO7OeHNg5sE2czoCSSUbiKSzDSLcjrzEjNdGRFM68h3s58gUu3ipd95WufOj\nHd3antZulT/Z/7D5Dry0uZ5mjhxz/CTEsfKW9yxDxG+KmUMfIu5dROD+BpgXINeNTv9Mh4UHYLI2\nDzg5qK/ouRG4yHXdH5u/f4D8o3M+MMF13R2WZWUC82Olt42L+LuH2ZTjT20K/I/n+Y7XPsqpyddm\n81iAih5FqS9HFT0W7pSyGb/2J/m3EhY4O+N1vKrNWkHX/fPGFgBdxnTtk9I6JXqNlH5IHY7XRMG7\n878+QO7eWOfMJidt+Zz3b15x9/zZD1eG/EekOy2YWJo5PKsAcXjuRlK9zkIcnPOQGiAbCYYTkTSo\np5F0LQiv9eNtsYRNWyQI344ImshtFxJYZyIC4BzCronnMCQhDtMa4KMF975XtuaBRU/OgdRYDSnu\ndu/9EBFJh7vMRT16AgNE8DiIwNz56uhnroknqJ4Y3929av7ECjPu54C50Qugmjm3zLxEtn/2HlOp\n/v35kEVJz4pXO2NqsaJT7NrW9FrhqsJ2yye/bW9YLE5PryEd9w+fdeEHPS/sucl8FwcQkeOtYdSe\ncM2Tty6UjyMXs3XN/PmBg+tfWvf3t254ZVKc72Ks67qrY12T0nSor+gZDPwNUfDliE26ArGF97qu\nO8uyrLuADG1k0HRQ0aM0Z9TpUZRjoyEXPKyF6HHSYGFxnDvmpg6nO9WFkLdVInUa+5HANA2pC2r7\n8sinQ79euT0tdmF7VtH1K360F7nXWooImx1IfcfH5nkiIkr6IK5EF0SoeGsBfY0IvmhBc1jYmIL9\nBDP2YYi4GY0InVIkkE5DUsNWISLEq8H5KkCu50B4c1mv1sRGkHiLsXoiaDAw2LTQ9sVLnTML2F6R\n0CKhJ/IdXWDm5wNz/Z7QGWCuZx0RwtQ83xa11lIukBggt1pceCzEq0Ob6rMqJjx9xaNnThpcSnzR\nlI5x1JBY1kXS3DzHqdr/T16fkM+v3ovdNEEXBD05OJaanjsRm9i7a/Bj5D/ifyCW5tdoy2qFYxMy\n8fZt6DbXdUGFWdNERY+iHBsNveBhTSJqOoRmga+mO+YRKVLRHdP6IC7QHiQ9KhXo6ASd5LykQFqR\nU+MCoLttv90KSa1KRbqYeXf29yCxyzpEjHyJCJkQ4U5wIxAH6FXgXwFyi0xK20Cku935SNvpHoij\nZCFOwRfIzeEPEIGztq7F8vWpIzHCxxMuXne1tqGq0OLZSTO/WVO752kVd++1/bYfcZ+SkHmyCIuB\nCsKLpJbUtAUrgqW2z/6J7bdfRWp6avp8eU2Ly0ZyLELdCOsMjhRDnkjyao16O0EnMy9pZkoNItFx\nIFFrfJo2/vru6Lruw8DDUS/vQxadUhRFURTlJMJ13TWWZY2dAbNviXAVSuu54OEBmDxFakCiRZRz\nB/giA1XzvMXMHq1eyCZnASJwTkfuxH+C1Pv8G4k71seqq/n5plvaug67kBS1eKQ7IScRF9v2216h\nfRnh9theLcwPkVqbnYizsZlwXcwwM47nsskJIrFU0OxfjAicPyKNFT4ANka7N/WhNgG1EYoDqS5y\nLKS5wUKk+96nvgRfUtu0pIX5RRXDowVDPtBneGax7bc3IjezuyGpeSsJi7a2yBpKFyPX+w5yvS6S\nptcCaPHpC2v7fZjz3g8KNu3vjmVZ3Qe2/8HZj108pMcFPasiPxe1JWSTU8pRhFSoMlRabDFuYgx5\nNBG4BcZZluWLN28mxc6rCaoRK0GcS2r+bSlNnHo7PfU+oTo9jU5TdSZOVPpbQ7lETXVeT1XU6VGU\nhqOhulPFSs06COMO1VQ7VDrjV/5k/8fAp3XtjFbTnf9psNIPJcW2Nd51XCcjwV7a9rI+93/rnzd+\niaQzpUY8tkTEzyhEgHUk3LrZC5y8Ani/2acUEUpBxBnxjuWY98qiH52qUJkLpWYBzejPxHot+j2v\nC9kwM9bRSBreQkRwrkYaJETW2gwAuhS8X7DttQn53R+uCMVy3MZEpBraSGrecLONQGqhdiC1R2VI\nKuJZ5rwvAm/MtO7vGyv17Gg1MMY5SyW+KGoBtAxWBFvOSXkwL55b1dDuS0OmfyonBhU9pwBNNThX\n0aM0JCp6FKXp4okogKPV+hxLoBovRW9qos+xgLzKkB0rAL/bvfcjJKD/JuHW1O0Rl6QU6erltbBO\nRBoQjEJqQZYj4sJC0u8uQZypV5A0uB1UF1Qp7975zpCv//rh5F17y4YAZHZO++ysBya8fOYPB+/h\nSAEW+dgCEWBtkfqTVCT9zkWcJqL+ts0YDyFpaPuQ1MDdQMnn/9yQtnLaO2NNpzuyuqZ/Pih7zHNn\n/XToemoWXhVI2pwngoYj6+ocMOdu+9Kwv5RNXr2j9fEUCY0pRBo6/VNpfFT0nII0h2D9RNb0KE0T\nFT2KcnJwvAPVWO6Sa5H+kMuwWOf83ZhuVdcsnOSl++9D0rWWI+l0ywLkHox1HlMv04vqawcNMvtv\nQ9yiQUg76VeAVwLkfhGv+D6WA5JNTitkLSMvVW0o0sRhG+IytUIaFCRgWn2b82022wHE6alJSKWE\nKkMtgBRfoi8l+r0a9vNxpDBygQQn6KTkJc3MOt41MI0tROrbVEJpGqjoOQVR0aM0R1T0KMrJQWMF\nqrV1l9It3Dv2TxuZ1Cp59bHW3mSTk4Qszhq5dlBHJOUsA9jzv/2ftKdv2NstlgC7J8m3+Gfld/8O\n+AYicrogQiyELPh5iOqd0rzHHbUt/m8oTBpaTGFUWVLZ4pGWs/5dzPFPPTsRQkQXJz05UdGjNInW\n0ieDEDsZxngqo6JHUU4eGjNQrU377OPZeSubnPYYAeQEnUvykmaOiOeAmK5pju23ixDXZgWSVuet\nUVSnGqcTSWPXwKgQUY5Gvbu3KYqiKIqi1AeTwnW+F6juP46Bquu6odaWtTA/RgCejwiu43n+ALm7\ngX8B/7ISrN/W1AXMdVxn54c7Wv91+FN1amfdFKmhe19JKUxp6POp2FGOhjo9pyDHy7Go63GbwuKo\n6t40H9TpURQlHk2pCP1U6gKmNTBKU0JFj9JgeALC43imy2lNjxKNih5FUWqiqQTgTUmANRaaeqY0\nBTS9TVEURVGUZk9jptQdZRwNugjsyYCKHaUpoKLnFOZYUrti7duYzsuJWKdHU+EURVFOfppCAN5U\nBJiinEqo6FEURVEURTkBNAUBpiinClrToxwTke5HfZ2QY63PUQdGAa3pURRFURQlPjFbJiqKoiiK\noiiKojQX1Ok5hWhIR6Qux1InRmkM1OlRFEVRFCUe6vQoiqIoiqIoitKs0UYGpwAnyuHxiPfZ5uIA\nNZfrUBRFURRFaa6o06MoiqIoiqIoSrNGa3qUBsNzPDxOlLOknJpoTY+iKIqiKPFQp0dRFEVRFEVR\nlGaNOj3KceN4OD+KEg91ehRFURRFiYc2MlCOG3UROfHS2I53EwZNn1MURVEURWn+aHqboiiKoiiK\noijNGk1vU04KdDFU5WhoepuiKIqiKPFQp0dRFEVRFEVRlGaNOj1KnYh2UZqyq9KUx6Y0POr0KIqi\nKIoSD3V6FEVRFEVRFEVp1qjTcwrSFB2QpuYgnejzK3VHnR5FURRFUeKhTo+iKIqiKIqiKM2aGp0e\ny7L+ClwO7HJdd5B5rQ3wd6A78DVwg+u6B8x7M4CbgRBwm+u6b8c4pjo9iqI0OOr0KIqiKIoSj6M5\nPc8Al0a9dhcwz3XdfsB/zd9YljUQuBEYaPZ50rIsdZIURVEURVEURTmh1ChKXNddBOyPevlKYK55\nPhe42jy/CnjBdd0q13W/BjYCIxtuqEpT4L61/7+9Mw+Torz2/+d0z8Aw7CAiq6CgKLiAS4y7aBKT\nm2hi3GKMRpPcXPdEDBGS2PRNABdMNEZv8jPRG7zRiMa4Ro0LIG7RuCCKIC6DLLKIwLDP0u/vj/MW\nXdP0OtPTPQzn8zzvU93VXVVvVfXA+63vOed12/NdCvmsNY5nGIZhGIZhGPnQHCemr3NupX+9Eujr\nX/cHloa+txQY0IK+GYZhGIZhlAURiYpItFjfMwyjvFS0ZGPnnBORbI/h7RF9OyNbNbPWqHTW3qqn\nxdGMthjxMvek7WLXyDCM1iYQKc65xjSfjekBN0bgWICeIs+tgyudc28053tG4WS7P4bRXJrj9KwU\nkT0ARKQfsMqvXwYMCn1voF+3A7NCraYZHTAMw6ih6b8lhmEYuRCRMT1FZkagLgJ1PUVmisjo8OfV\n8NxUOH4DRDZAZCocXw1zRGRMod8zCiPX/TGMlpBznh4RGQI8Eqredj2wxjl3nYhcDfRwzl3tCxnc\njebxDACeBoa5lANY9TbDSLoZAcV0NeLEdkmXxKq3GYaRjUCo3Aidz/PrpgPjYNNmONY593pPkZlT\n4fj/Stn298AEmLnWubEA+X7PyJ987k85+2fs/OQqWX0PcBywG5q/cw3wEDADGMyOJasnoiWrG4Ar\nnHNPptmniR5jl6VcoVvlDhlryfHz3dZEj2EY2cglVNbBFyJQtwEi1Snf2Qx0hUQCOuwJLMnjexaa\nVRgmJI3WJmtOj3PuWxk+OinD96cAU1raKcMwDMMw2j+lyt0QkWgEjj0vzWfnAZfoA96sIf8Ccg08\nD4ycbJO7F5V87o+IRE1IGi2hRYUMDMPITNihKLfT0pLjFqPvhWyberxdMVTPMNo7rVUEIC4iQB80\nGmV7+wXsOSWLUBGIXAMf3Ad106Eq1W2YDgyBTyIaxv9mT7huOnw+3fe6wey1RR6clzuxvzWOH9f8\n8NHA6F/AmGz3xzCKgYkewzAMwzBaTL4D41ARgHDuxvHjtAhA1tyNuEgVWjQpEDR70lTgDAI2AR+H\nWxRe7gNDpsOYdEJlPyACfY6C1eOhfwKi3wGi/vPx0HAavAecDvzgG7D71X77cP7JeGj8BtTFRf4H\nnecwW6uN5UisLneFuGIc3wvRvfACJ9Q6AG8Ab0Thgd4waDocXiohWQzKLUaNwshZyKDoB7ScHmMX\no5DCAqVyhMrtPLUGltNjGOUhGBjX+oFxN8g6MM6Wu/FzeP4y+DE7ipmg9UDnAQyLmsWh10tizm2K\ni3QB9gdGASOBUcvg4Bmw+7U0FSrjYHMdHPNz4G244DX47mLoAlANVMDbtXBeY5qS1T3hxvX+vHeH\nNw6A/z0KPgN6+tYj9Dq1VQPrySCK5kGnJ+GiG6BDan+3wbENzr2W49a0iOYUFoiLVKIaMixuDgZq\ngdfxIse3JWHRJyKjq2FOhuMd05ZKgRf6mzfaBub0GIZhGIbRLAp1bXLlblwKRyfg/gisAJajgmYW\nsAh4Fx0oJ4Jt4iKdgBGouBkLjIqLjEQnTl8AvA28A/x2ALyzEXpPgBt8Dg/dYPZmGOece8OfywWp\ng+6fwsgL4Ym4yKPAE8DTMefW+nM7IXja/0mBT/vjIhVkEUWvw7dvgA5hcehfV98Kr8ZF1pHbTUrX\n1oevYSZ6wI1ToXOa43eeANPiIl8DDqSpwNkfFZ+BsHkMeCPm3Ke5jufvwbETYFq6+5Nr+1LREqfS\nKC/m9BhGK9OcEtLFLjvdGs5OS/eZa/tC929Oj2GUnmyuzUSYdQV8GY0SiwDRNVBxK6zMVPmsm98u\nCo1A11Dr4pcOrRDr/H4rgS2ok7AO+BStNrva73IbsNW3bb4lGnTbaAVI0L874eKrYe905zINln9H\nRdde6DyEnwJLfFvjzy8SOtcKNHyrg+9j8LrCvw8vU1uHBFRMhi61qB2U7jr9DN6IaP/FH3P7uaTb\nZ6gflUB96Lps9ddws19uaoTNU+DUHMevi+h8jB8CHwDv+7bJ36PG5i4/hsQWaNwX6oBErjDAUmJV\n5nZezOkxDMMwDKNg8nBtjk/Auggk0AFtojc0joDG6RBJl7sxAhqicBQ6cK/z21UAHVHBsgkdmAeD\n9QaaDvZ3B/rRdMBfmdKkQvdd5/e5LQFbl8LeWc6lfwIWR1TgbAC6A8NRdyOKioiE70ulX24Lta2h\n7xDqc6U/typUXzSgAm4lsG/aCw84cPVwUcek0KooYFlBU0HZGRWVnYMmsEemY4f68Hd/HhWoszYA\nddsK6Uva5eCm7yNxkUaaL6JaJMDCy0ZIbIDjrMrczok5PYaxC5OPm9KW84yaVsgzp8cwSokXPQXP\nV5Mpd+On4M6Gbf01rK0GHfAOAnoDjwAPAE/GnNvckn7HRTqiomV7q4eeU2HGBpAsDtRTUS1m8C4a\ndrfZty7A0WhI1qFons5iVLxUos7QQHTgvATNSVoSaks3w7J1sPQPztUGx83mKNwCdWfCvcDEmHNL\nW3I9/DXp6s/heOAEYL+7of7H0DPd8a+HxefDUTHnlrX02Hn0LRCIhQq7FgmvdMsGqJwK8drMvxN3\nFRzUCd5uS+6UoZjTYxiGYRjGdvKtSOWca+wp8tz0NANzXxGt8Qy4OS7yR9R9GQWMnASjlkP0Fth2\nqbocbiisOh0+6w+Hx5zbGN5XXGQQcApwCfDnuMizqMvwaMy5NYWeX8y5bcAqYFVcJAKMrYRv7qcO\nVEW6c+kPC6Mqxo5CH+p3QB0fUHfEobksL6OuTldgH9QxeRX4I/BgzLn3w/tOTYifEaqOtg6uHAdz\nSJPY3wW+BHwFmBsXuQ24LvW6ZSMuUu3P5QTfDgBeA2YCPwFefg/2z3D8LV+Hl4B5cZF/AL+JtWJR\nBS8eAscmb1qrstrvRMZm+s2PgEQneA6ojYs8guY0zYw5t7WYfTCahzk9hlEGylU9rZDj7mwV3szp\nMYyW0ZyKVJlcm/HQcAa8NxiGoQ9YPwQeB95CiwvMjzlX6wemkeOAE3SAfWfMuT9kOl5cpBfwH8DX\n0YnSXwMeRAXFx/mea1xkMPBd4EL0If3Tc2HjU3DVDVAZPpergTPg44GarxI4NbWo2OlLshxzA/Dv\nlNbg+3kyKlS2AE8CT9wGn22EJ7JVR/P3ZFptKLF/XSix35/HFDSs7BfA/8bSDPJ9qe/PkxQ5o4E3\nUZEzE3gp5tyW1O2yHT8u0gP4AXAZ6sz9Bng43fFLSWtXVstWZe4g+P6XVKB/BS3k0Akt7jALFUCP\nFcOZM5qHiR7DKAMmeoqPiR7DaD6FlCeOi+xGqBR0DXzuVThggY8e2ROWHgTTD9JKZ+8AuwHXAocA\nE4F7Ys4lUgenu8Frp8LwATAqn7Ap71acBHwD+BoaUvZ3VAS9g7oxA9EQuUHaNY5BB/y90BybCKFw\ns3eh7iU4eqnm67ie8OJauDy1XHWavog/xmFoiFvQNtBUBG0BjgBOvg+OuxSi+STE53It4iKHAb9G\nI/GuAmYDnyMpcg5DxWYgcl6IObcp2zmFyXZ8X4Xum2ip8T7Ab4E7Ys5tSP1ua9OcMtvNPU4OMToU\nuBL4NvAoMBcYg4rfJagAehR4pRCRaPMCtQwTPYZRRsotfgKKffxynJeJHsNoPtnyR6bAwu/BP/Ei\nBw1Je4dkOei3gXfuhE8Xk3VgfgxwIyCz4A+vwE2pg9OfQP1p8OJecEK2nIi4SAegP00FzaHonDAD\n0TwMQcPYlqOuzGBU4DwK3I86N6vTHacYg8vQpJyHkhRDY4BPG+HNKfD1TLkhmfKhshyr0u//EuA0\nVPAtQN21mcDzsVC+UGsRF/k8Kn5OBO4Ebok5t7i1jxtQ6spqeYjR3dB7cgnwAvr7B3Urv4qGPz6B\n/iafjDm3LsNxbF6gImCixzDaGW1xMtRMxy3msU30GEbzyFWQwCfxT4nC88A8YFlzk7R9Ds2Z98Kd\nl0NVusHpb2HTWZpXMpekqBlEU9emNzqXzw5FAfyyHxp6NRYVaXOBW4C7fU5PRor5NN3PI7QfmjMz\nyi8PTkD3yVCVqSR0V3CDoLIm82C6AhVQJ6DFB45CQwhnomGC+6JOw33ApJhzq1p6LoUQF9kTDXu7\nAHgGzft5Kfi8NRyLL4t0+CdsKbSwRinwruSFwDj093k98A/0t/wVVAAdi07g+scCDWsAACAASURB\nVCjqBL0bc86Vyr3aFTDRYxjtDBM9hmHkwrsQ+wInNsLYKXBajjlZlkU0dGkZ8FGaVgOsyEcM5SOy\nfgaJiOZE1JBe1KyIOdcksd2f0zHA94BTgaeBP6GOziloHtAoNKfmQeDxmHPrQ/1q9tN0L0L2pqm4\nGYW6S4tQN2yeX74NLL4NXorD4emE363A6RoKNwsdAL+OFksIig8c7a9FEK42O7WoQ1ykN5rncy5w\nA3BzqRPqfVW4C4ArgNWvwIMvwsm1ep8KvcYR1N0bAgxF88UORgtG9E9A18kgWYRk2URPgP+dnA6M\nR8X4DagQr/PCaCzqAv0Hmg/22B/g2GvgQJsXqOWY6DEMo01ik5MaRnHxSe8nogOrseig6hngmVvg\n4l/BkdkGVr7U82B0wBluQ/yyC5pXExZCYWG0FtinAU6cCrfmEFlbIzrZ6L0N8FYDzKuCeekG7XGR\nfsD56JP0elTo3BVzbnWa7/ZF83++joqbF4AH74IPP4G/53qa7oXVAHYUNyOAT2gqbuYBiyZpqeom\nrkZc5LxlcPM9UH0DdEg9ZgWceKWKlQvQvKOOaLjeGtS1egJ4Fi2NXJd6ninnvA9wHSoQJgD3lrqc\nclwk+jJc8SLccB1E0l3jSSpy+5L8PYWXw9HrHsx7VIn+fFagYXyvAXNugYm5fsetd5b5439HJ6Hi\nZz/UhbwLrfwXlNwe1QhfmAJXtWUhtzNhoscwjDaJiR7DUJobChQX2R11BcaiYqcbOlB+xi8/DAa/\nJ4n88FX4n+tA0gxIj3N5lCSOi3QhOVANBqsj0UHdHuhArgFYcTd0/jH0Sjc4nQzzvw+nLIV/zYS6\nGg1VYwQkjoCaQfAKKig6ohXJDkNzdP4E/CvfAb13IU4GvjEDzrgsTbnq3wNT4b0L9XqN8m0bTV2b\neWg1uiYlo9M5R1GYeBn8J1rM4MxJUBlOiB8I7x8PS/aCg9D5fmajA/wvo+FQ96PCMyiUsLfvQ7hY\nwvxUF8yf73FosYM64MpwuJnvb6smyWfLt/ktbD5LRd1mVNhtQfOyuqIO4xZU3CwEPkBD+YJiF9sn\non0Z9p0D106Djim5YnVfgBsPUpGUOnFtRQGt2N+PkJxgN0JyAt46oCEBDZNhqIme4mCixzCMdoGJ\nHqO9UWi4VVykO/rdwM0ZjM4ZEoictBMmxkWGA8/Pgp+/Cd8KVaSqXQ/dJI9jh/Y1iKTQOgFNqJ/p\njx/kHgx9G456Ei67HipSJyg9C2od1N8LPa+HaPjzq2Db6fDqUK3AVo8OjOtQ9+Mtv5yL5kPkFcqV\nZ7jdpxE9Tj2QCG+e7vVS6DgD+qaKyKuBs2Brfx3YR4EqoGPCz1cUSToZdSnHiaDFGDr7bm1Cw90E\nHVgHg+tKkgPpcGsM9a8jOoZuADYvg8gLUL3QV98bAQ1HaR8Tfl/BuUloH5leB++bbJcAJqN1vrNc\n42CjRt+3On8ttvhl6jmlbR9C5xdh5EewO8AQ+OQIeGk4rMyyXX2++2/G97N9NxH8TcZF9iJZ8e1+\nYFrMuYU9RF69Fg5t6+7VzoCJHsMw2gUmeoz2RD7Jyz5J/iiSTs7+6OSYz/r2Wron/mG8UHoZzff4\nvT/2oZ1g1q/zK1+9B8myyGOB7mgeyrOo2FmYyXkZKfIVgQff1cE/PeGlkXD7WGj4P/j1ONg9S6GD\nP6OuxkeoAOiDujAH+bY36giEhdBbwCcx55wPifs8cGQCjpwMn88yIHfjYGS1DsJBxUYYl/r6d3DP\nL+GIdP3/Naz+tgqKBPBiqC0lGcpWlWbZAXXMzkLLfz+LTnwaDX2nCg0z7IeGiu0G9PDbbiYpHgC6\nLofqe0GuRWdchaT4PAM+GqRuUyA6tvhtK1AHpptfdkHFWJXvfyDGtqE6Z00CNk6Gw7Jd459BjQ9p\nvAn4a6awvXwdqZ21vHNcpA9a7e3iD+HtGXBkFXScStN7NA62bIajrIJb/pjoMYxdiGwhY7nCydry\nvD3at7iJHqPdkC0U6Dr46LuaO3MYOpgPQtZeLiRRPa6DwkfRMLdL8jn2z+D5y+FmkiKnL+omBW7O\nOzHnEuRBXOTPwMeTYBIkB6d5VpN7MqoD/R7oE/3daFpkYQn6hL2T7+NBaKhdBSo2BA2VmgM8fDP8\nYgock+6cfwNrz9HB+7Xo5KlNqr/FReRT6FUNfaqhdz3sMRXu25ChHLV3NRZEVCB0QsVCsIyg4mIL\nmt+RaVmBirzeqGB6Lcd2FWi44TC0gMUooPM9wI+ge7rzngaffEev0QB/fbv6/eD3uR4tCf4xWqxh\nPipAe6JVyUYBB/r386bDnj+B/hmu8Wfn6P0Zg5a8HonWc/hDzLlPYdcr2xwX6XwHvDEBhh+O/pE8\n7j87EHgPXt3g3OFl6+BOSEXurxiGYRiGUSr8oP/Y89J8dh5wKQxthKei8Ag6jm5EnY0hcZFG/z5d\nS6S8/yHqkPwyLnIo0LgVqM1+7KMboTaqIufbwNxCJlcMiIsciObTDA/ETlxkX+CUa+DUycnwqHQ4\ntCLbIFT0VPnzAR1gd0ZzZnr4FmiPWlQMrUQH593QcsHfPw2WjvcuRuq8QcfCFFRY/RiYFhd5Dx3w\n914K/V6C3gt8eNcwqD0c3sj29MVBog7OqdJ710ScxJyrz3HpmhAXOQItf3wqWqTgUdR56RFqPf0y\nKIQwH1jeCH3fhy9nudf9EvBhRJ3ABYTcMnRy1wND7Tj097TUf+ct4I9+WRNzLjFJZPQ4FZk7OIhf\ng7+hhQy+F3PuC3GRA4AfAYviIjMehierYfrUptsePw7miEibLNvs506qDrXOKe+zrmuEbstg+Hl+\n5cMkf+TbgK5wiIhEdzYnq5yY02MYBtC2nZx8sPA2o72QZ47JxghsADb6tsl/HIQwRdCwp6Clvu+P\nTuj5NioiokAkAdHJcECO3IuNkWReyeaUlm5duvUT0MH0myTLMHdChdzfb4arp8BxufIYfBWsYX77\nE4HPoSFgK1BhAupQDEDFxUaSuUAd/DGrAVkOiRch+q4XMPtpx1w/TZr/GBVaG9Byy8MWwuMPwTdu\nhE6pg/hKeLc5eRj+fFJFS2rrmWZdf9SNiQKbEypu1vlwsXBb65frG2DQVJiU7V5PhD9FNYxwG+q+\nBCKnA0lxE7R3Ys5tSndeAd6tmRbKG5u9DsY5596IixwL/B9aTnx8zLmtvtreRTNgwmXQoVh5LSFB\nko8Qae53oiR/96m///D7Bv/94L73AfomoHoydMx2fy6C3W5JKVUOO29oX2tjoscwDMBEj2G0JXLM\nLD/rR1rKeEioDQ29Dgb9NSTLRteE2iD0yfrxMefmN+PYp5J7wLfD+kZ93y2qYU/DUbFVT9KtCgai\nHZbD1r9Cp+tomscwHhpPh7l76qC7Fxre1YgO5GtRxyTh9xPknXRGBdA6VPQEuSlBIYGufj9dgHUJ\nFTZ1EQ2fG4iKoMApqwQ+A1bcC8Muh07prtPVMLcB9pmWIoh+AvVfg7/uq/lB6YRMd1ScpRMq2dpa\noPZ1uHQRXP0edHSQSA0B88ny5/u2/g6ongDD0p3DLbDtTL1GgUh8GxWldxGq/NccMg3K4yI9gf+H\nhuCdE3Pu7TweAriJcGO0ABcFvafZhEghoj7TdvXha+TPbX9UPIaX3YF3gXdQF26+f734JngmS8W7\nLWfpb+Uu4KaYcx/taiGAhWKixzB2YZojdIoljootskz0GO0JERldDXMyFDI4Jtsgxj/FHogXQ41e\nEEXV2dkbdQVWoQOtVEFUMxX6RGFWc46djn1FvrQFfrtcJ5FkBDSMhn8Mg8tizn3sCzL0CbXdgf4L\n4cB/wxc+VAeD/cAdBdJPxVIdOrhcjwqZoLJaIE4g6W4F1crCrQodMIYHqltIRhAF2/bw17IWFUcO\nqEuAmwxdsj2FvwA2vQiVC1WgMRw2HQKPD9dB7SeoG5MqaNYXGuIWkKX4xZYT4bpD1A0bCcwAXgKq\n3oMTH4UzU+fO+QnUnwNb+us9mu6r8n0D+CaaH/U4Kpwfz+Xu5IuffLQf+ns9HzgHmJeADpNhdLYi\nCBNgQkVmV2WHdbnmNmrhefSmqagJXnehqagJlksy5cFl+ndgPCS+BZv66734IfD9D+C1B+DYaVCV\nqwDJroqJHsPYhTHRYxhtl2yhQAVsv/2pb3d44RvQZ7BWPruPpk5R0IYCfZbC6jlQ/b46EK4fLBgG\nNx4P/wSWZ8rj8eFZndEQsFOXwJfvh8FpqoMlzoQVA/UpdyWw2rcg6b4bKn4qEvCug9eiWjBhNr4C\nW35XMT1+gB2EtuVyB36EJuq/jV6P3Ruh9xQ4Pp8SzGEFRrLSm/iP6lGxtQkVVhv8MnBv1vi2MtQ2\nEBJqQYW+bA7d76D+DA0lDETcAnxY2izY8hacsw6OhOTvbJK6YY/6XVwbKq3cF53c9TQ0d+oZVAA9\nGnNuPRnwv41e7Di5bdAG+3Nbg4rPnqgI2vJ/sDFTNb9ylW32VdbCoiZYVrGjuJmPipuCf7ep/w50\nh+dOg8GDNORw/CR4/IfQ5XH4dybXzkpbKyZ6DMMoOoGgCSiFqDLRY7RXmhOfn+mp/3ho2ASfa8zy\n1Dcu0hENgRvSAEMF9o1qONpQNDemGzowD/JjHCpUeqBuSAQdtH52D1T9CLqlG4hNglcv0iT80eiA\n+1C0Kl24jPOilgqclhIXOQz4OzA85tyWYH02kRGH1/8LbgT2IjmoP5ZkqNgmknPndPCtgqaOFSQd\np2AyyygqloKy0BF0gsqGydAhhwjbFlGH5+/A6hehz1vw3VXqFtADXtoGV2107uXQufcHHkNLY1+c\nWgI9LtIL+BrqAB2P7v95tFx479C574WKakhW2PsIFbqdSVZ72xctaDDHt1eBnyyDC+6GrqkuxpWw\naUuek+c2By/UdmdHcbM/es/Cjk0gbpYV+zcbF5Hl0LUb9OqiDwqOWw7XzoaG96GL83loG7BJTLNh\noscwjKJjoscwykuOstNzLocfsGNIWZ80bTd0IL4aDYlbjea0bEMdmmBA28+vS6BPuj9uhJopMLY2\nS+nmifBMNClw/hVzbm0RL0PRiIs8BMyMOXdTsE5ERneFV1InWM0UBhgX+QNaDOEP6CB/cErbk2RO\n1mZ8bpHfvCN6yapQwbkNFUCdgM4JSEyGyhyiJxHxYmkZbLoXumSYPLWhvx6jFg0f3ISK3gbU6atD\n730nksn3vdHS4F385x1RV+oV4B+okPkIHbAfAxztl/1QobRd5KQrux4XOXEp3P0sbKuBAU53VFur\np9bi3BUvbvYgvbiJsGO+zfw7YeViCnsYERfpgDpYvfJc9vatOyqE64DGZVAxA7oEDmpgi2W6/yZ6\nFBM9htHKxIk1K4RrZy8skC/FC5cz0WMYkHf1t0WRZEhZ1hYehMZFhgKn+HYYOhHpw2ho0wr/nSpg\ncB3sfS08lm2+mokwNQrvoeFji/zxyurspCMuchDwBDBskobgMQn2Xwaz/wbvpIaGpRt8x0VOBK6L\nOXdoluNEUPFzBOp8jSIpKqvQQW9Qga8OdX8qgcR94C6FaDqhey18eIGGqg0BDrof9rwESPfdm2HT\n2Sq4gklNA3enEnUU6tBrsDWh4qsuot8JHL+gElkXkpUBg8F2I/ApOqfSh2ge2XqahvbVpnm/GR38\n/7EG9r0P9kwtEpFP7ooXN/3YMd9mf1Sw7yBugJXh32SFyCHd4abgnveFeWPgnsP0PHKJmI7oQ4O1\nfhkWtkFhjc7+u7v510tomnu3+PdwZQxG/1fown4d+A/S31MLb1NM9BhGO6Y1hFOqixPef6bjtWRS\n1Pz7ZaLHMCC36Omqg+O+Nzu3Ote+/CD8ULRi2ymoI/Qo8BDwdMy5zdm2z+Y4TYb539ek+uGhFkXF\nz/skhVDQ1pRTEJ0n8s/nYO8lPkxrGNSOhN8/4NyEfEIQ4yIV6GD/SLSQwXBgRErbBx0QL0jTlqGh\naL8CTkKv1TzgSWDb+3DwQ/DV6yGakj/lzoAPB/nSyAnoMRm65nCFVkb0eCtIDtI3oEL38Pdh9otw\n6GItisHesO4YWDVIN++JL96AHnM9mrdUgQqXjSSrCq5HhVQg3qp9F7qRrL7XDRULG4DaGdA3U/nq\na+H9C2AaKpQqUbdyD9RZ28tf3zpUzCxEwylXoEIsQg73ZRn0mQHdUnPUxkPjKfDQcBXwgaBZ68+/\nCnVqepIsFT/ELyt9H2r88mNgOfr7WBE6jyAEsuM2qLoOZj4Hci2qxEHrvs8Fpqb0rbkFSNojNjmp\nYRiGYbQjnHONPUWem55GbEwH9oKVvXTSxweBW2POvRr+jq+mdiIqcr6GDuAeBv4TeKWQyUjXwZWZ\nJqTcDOfGdgwB643OuxOIoJOBy/xrFxdJJ4YWxZz7LN8+NQcRGdMZjk5xF3qMg8tE5L507oJ3FfrS\nVNRsRfNUOqF5L4GgeQzNAVoYc25Dyn66A9cA30Gf/i8CxgG/T70XIjJmAky7xCe97wHzToaXB6lY\nHYaKjlStk44IOh/PULSwQC0a5pZYArWPwCkpA/8eV0OPs4D+OtAPCi1sIzkZbjBPUrXvy0EkK/E5\ndFAf8dtuREXOEnxVO2BjI2xeCP+VZULVYQm4PqIOCSRdKiHpkIFen2N9vxp8PwMHa4tvwTls8tdg\n0zNw8rUpOWr+dfRmOGm4ukZdUZersz+vYN/1qJsU1LbY6o8/CK2q2MF/Fnw/aE3eV+p7+TrwS+De\n5D1gHnAlcIk/RjeYvbmA4iftnaxOj4jcgbplq5xzB/h1NwBfRS/+B8AFzlfrEJEJwIXoTbzcOffP\nNPs0p8cwWplShsY1N3wvvD2Y02MYxcSXun0hzcSZWzbDUZNgKTrXz0XoU+670MHUycBYNAfjYeCR\nmHOLWtiXFlWhg+0CojdNXaFwqyeDQxRzbl1L+g95zV10ETu6NiN8v8JuTSXwnZlw8GxIZHKG/Pme\nj4qbkejA/17gmliKQ+fduMEkw7X2T+hyPz+J7PzUdhPMyHQ+v4HPzlGXYTAqFjagg/euQIcZIJdB\nZbptfwEvXqo6IJhzqLvfLmip1fH6o9Xk+vrd1KJiICjwUEmyiEMweW5FDpeqMZIs9AAqpMSfQyK0\nhGQ1vQAJLSX8PgEyGSTHZK5/iapL8wnqlK0li4BJeV+f7wOFniJrp0KPDL/HtevU4bLJSVPI5fTc\nCdyC/lsZ8E/gp865hIhci86qfLWI7A+chf6hDQCeFpF9XIba44ZhGIZhtBrSCNyO2iSgj+39f8iC\nCp1H0AHheajLkEDLD5+U6v60BO+CjA1CwNY2YyDmw9o+9e2l8GdeIPShqQj6ul8Oi4tsJbMgqs11\nbB8ueGwWd+H4BMwJ5Uh9ipaDnoUO4CO+7bYA+s+DfRdAXRTc3iLLjoAX9lE3LeLP4zBUDAhaPOIp\n9PPewHTv/HQnGQLWBRVX2+eiiahT8S56TzsDnwM+748R/SZU/9QLg9RQuDN1AN7d76sTGt4ViA63\nMLRNmmtxZALmetERbok0rTHUgvCyTqhgAnV3VqGiqzPQLQI9RkB0OkjqgP9/gUGwOKIvt/m2NdTq\nUVcn3NKtS/v5Okg4FYORNKePg8Qv4fxiCw0varvjJ7Ktg1610D3TPbhEv2uCJw05c3pEZAjwSOD0\npHz2DeCbzrlzvcuTcM5d5z97ApjkQqUP/XpzeoxdjubkupSLttinfDCnxzCShJ2JYOQTRZ8E3wBL\nztNBYCfUzXkYHaAPQCc6vAB4HbgNeKyQcLa2RijELJ07NAwNo0oXMvd+EGaWT2GIifB4VN2ztTQd\n1G8f5L8NezwB/3kDVKZMBFp3Oswdos5QF3Sg/wqa47EHKoAGoAn469DjfOxbkAeyMfV46foQXv8o\n7PsxXLVGBZHrC28dBS+M1GMdjgqdl1GR+RIwbxUkfg+fZskXa3GVMF8I41zU6ToEzYlZik6I+sdf\nQWOHUDn2N4DL0UmIgERLK7llI4fjl7ZYQGjuqp544eJbtvfh111R4bcOWNsI67LNEWWV2jLT0pye\nC4F7/Ov+6B9HwFL0D8cwDMMwjBKR6kxEQ5/5p/EDt8LhVfBaSmGAD4GfxkViwBloJMctvtTyn2LO\nrSzJCRQRf34rfJsT/ixUySsshM5GxdCwuMh64P1JsPqvsHU6VKfLkRoI70fVZfkKGpL1Uqi9GhR7\n6Cky84aUsDD/usPv4JAhmti/DE1y3w91SOajonQ+sCDm3KYWXpLg3Dt8VQXWAwnN9+nr82A6oUUq\nrgI+SFc44u4s+WLdYHahTl5cHcBD0DyyE1ERNg91HX+OukCnoJOh/uPn8PALMGEinHYxHFsFkV+z\nPb8oMh2OHwdzRCRrJbcC+1gF9NgbbrlKK+tVpQjX+lNhbVzkPnYULt1R12ldqK1Neb0Unfw23Wcb\nUh883CIys5j3YFeh2U6PiPwMGOOc+6Z/fwvwsnPuL/79H4F/OOceSNnOnB7DyEA+LsvO6sS0BuFr\nYU6PYSh5lqx+IaLhT0ELZoxvEpIeFxkDXAycjs63chvwQlssK11MfEjRwaiJfNxiWHg/jE6tjDYe\nGr4Et42C2ejAtQodFH8OjSgcDHyagNWT4aAcuSgfRtSx2YiGmDWQTLRvaPTvo01DshrJHJoV/iyC\nJswH8yrtiTpKC/zhVwN/yrL99vYwDF8Af0nNF7sKtnaGky5Wl7ARaEj9PflrK+gkpCehIuc4VOw9\n49vsTGGHcZE9UfHzTWDkXbDtKuiby3mJi1SSDBHL5Khkex9BBcjaxVD3Agz4QMP+3GD4+BB4aJSW\nuE4natbHnAvKUhcFn7M3J3XyYavUlp1mOT0i8l30icaJodXL0D+ogIF+3Q7MCr0eQnKKXsMwjHyp\nAYJ/TWaVrReG0fbIVb2tBzwfgV+gbsL+6P/n+wHd4yILaSqE3kWT9H+ChhvdAWyNi9wG/F/MuY0l\nOakSEhfphjoMP0CF3g/3hKovwgHXw2mX+gT/4bDxbNg8QKNeLiWZ+B7k16xFo642o65KRhwk6uGc\njjq4rgi3F2Gfd+D7n2hBA/rDgjHw1zFa2rgCNfMqUlo3VOAMQcdmvVFhswJ1lF4lOa/O7ujv4MI0\n+9lh36dAxWhYcwvsdqmKPEZA47lQ0U8rKG//blzEkRRQkDw/h4ZYbkaFQQVJAdQYF8mWZ9MILGuE\nlTVwWpb8ohNiIksiKlyq0ByhVEESfr8szefB662pQj/IUfuwDK6Kc+4NETk2XKnPKrXlpmCnR0RO\nRhMej3POfRr63v7A3Wgc6ADgaWCY2/FHYk6PscuTy61paUW01iRd3/M5n2yfF6df5vQYRkBzngT7\nBPkRwP6NOggeEVUxNBANfQuEUBR1MkYDfwH+J+bc/Bz9yTmPTbEJ5VL0Ijmzfa7WDzVj6tBB8Eq0\niMCaoDXAZw7WVGrY1fb1Mec2+1CtQWio3H7Al9Fr1fU+iF6aJgHfTwi64WxNwH8RDYv7OOacE5Ex\n1aH8FdhxIk5/nnsCx4RaP7+fOb69Gp5kNuU6nQ+cGHMunX7ISnBfJ+nbl9AS6H+Oi/QEjkeFzElo\nqe2gL8+jrlg6sZZVcIVbPVRMhemZJr/tCokrYe8ufhLQ9upOluNva2clq9MjIvegCnI3EVkCxNAY\n3w7AU/p3xkvOuYudc/NFZAb6D2IDcHGq4DEMwzAMo/VpzpPgmHPrRaS+B5xXq3OY0A2eA879kVYD\n28+3fVF3oBpNOP9BXGQVOtfM3cDbMefWwvZy1TdG/P56ijQrydxP7NmT/MVLb1TsJEgKkybiBS0A\n8IZ/vR+aYvNvYFzMuX8X0r+AmHONvq9fBL7r9/dd4LH3YfQ4vZ5NwsJ+Cu5sdSLORXOKugD1cZG3\nh8LA8dA5TR5Q56lwT1zkNVTkVJIUFf8DvFVAAYp1JCumFUQw0PZzO90B3BoXuRydBPRF9AH4OcCb\n6ULdWsqtIt/Llttyg3M1xT5mW8PETv7kdHqKfkBzegxjB1KdkOB9eF2+25aKtpZbZE6PYaQn3yfB\n+bgK4e/7wf1ewAFojsVYfJ4DsK4GFv9N82AqUva3eQiccaaGWuUSLcHrrmh40ppCWsy5LdnOOS5y\nOHCDP9Z44InmOAL+WvwHmv80Gp3y4w8x5z707k8VUHU3HLoWJq3RqBh2hzdHwe1H67wug1GXaBCw\nVwIGTYZ+OeaFuTEKM4HXgE9jzjVQIHGR4xLwy/+GE/IdQKcUHzgJPZ95qPhaDpwZc25boX0plHLl\ntpi7snPS0upthmEYhmG0YfIdmPWAG6dmcBUmwDRU1KSyDo3wWIlOnnkgOsHpIa/AQddDRZr9Vf9O\nK5KtRPNMlgFL0HCxGnQAnypg1hXqFIhIdJJI1CXdl6pQ2wfNUxqDCpRZaBTLGb5SVxVaySy8Tbr3\n3dC8mf5olEswueYFwEXeAYmiTtnWc/ycMQkNFdwa0fen+222+OVG4BWnrtA4khNk7niOcCVwBepo\nVcRFNqJicpW/tsFydZr3n06CA3aHaWvg0AjUZXLifAjdCJIV1o5HQ9SeAW7CFx+Ii/RAfw8HA//K\ndn+KQeBoToNHLoX+Dlw3mNVauS3Fci6N8mBOj2EYBdGcnJ5SYE6PYTSfPOeieSLa1InpgoqeHRyW\nRtg4Ba7J4lK4iXCXaHnovSMaXrXMt0/QwfkadH6SSnKLj+3vl0CPF2H396AjwAhwR4Prp6JiGypu\nqkkKrs0kBUe4ZVu3FyoCDwKeBWagJYfTbVff3HySbPPCTITZV8BvgC+grssw1LESf56fkizXXeuv\n427oBKi7L4def4WK69he7nl7+eUvws0HqgAdjOZ3HYrmOT2NCp1nY86tSNfnuMi3UbF2eHOcp+YQ\nF7moAa6ug3HXOXd/axyjUCfUaHuY6DGMnYxw6Bu0nfCycqLXJG6ixzCaSS7R0xXc1XBKBxUKQW5M\nRvclHxG1LzQu9NMI7QNbjoSVg3SwHoSDdUWF1XpUBH1C0hWq8eubCIzHSJkbQwAADqtJREFUYMg7\n8L+p5ZTHweYvw+0HwLdRgRKPObeqkGvkXYzzUcOqEc2duStTeeViUGj4li+1PQL4EprrcwBaiKKD\n/8pn6OSrr94OY38Oo9IJqt9BwxnqHq1DHawOqDDdSHrXKPX974C/xZz7TZEuRUZEZMwecPtqGOOd\nntmt4b40Z2JSo21hoscwdjJM9OyIiR7DaDnFHtRl29/V4K4FSUnoT5wBiwep6NkdFRarUJeiHnUw\nqtCCBruh5YQXoQ7Lm8D838KUyXB0umP+GlZ/G46JObewkPOIixyClu3+JlqS+Tbg+UzujQ8Fq0Cd\nlfAy33VNPnsVhs2F7yxXMcNAWHQoPHSgXpt8998F6AvsAfROQJfJUJnJiesKiYOh42shp8YLqh7o\nvekTaruneb2HX9ai/cwmkLa/LnQ+m1K5L3k8FEgkoIPl+LRtTPQYxi5AMcLPmrOPUm2j21l4m2G0\nhGInhWfZX+JHEJmc8v1Q6eYKdC6ZucAHaGL8OtQg6osOrPuioVcD0JCujglITIaKHCF1t+IFQbRp\nCeRUsdARHbj3R12ONegAXsgtMqIk55SpT/M6dZnXOj85aYOfnDSffWT8rB4SU+GhTOWeuwET4OcV\nOtHom8CKQkP04iKT0Up/P9sGfSPQpzIZXpdOMPXxh88mkJq8vwmeKIX7YqKnfWCFDAzDMAzDKPqE\nh5n2twWO+1ma758HXAJd6uHcSi0hPQKdOHUgmkMU5Ms0ouOXalRsrEXD3jahOTbp+wPyN/jhQt2G\nobDyUHhiBLyC5r1sQwfhX0LzZN4BbkfLQG8jf5HRuDPMCXOryOxM5Z77wfwKdXWuRKvRNcZF3kRL\nfL/p26IcZbEnL4VFj8G9KzXMjm6QMfHfO2Q9SC+I9gQOC3+WgD4bQpUBw/jf0nHiC1nkeUkykmvC\n324we60JnjaPOT2G0YZoCwUBmkNb6Lc5PYZRPIpdkjfYH0AeBRPuj6qQWRdqG9AcnwHoAHhfVBgt\nR6u9vQ689luIpwtvmwjcDIkbIRJ2ncZD41mwaqA6EPWomHoLeAR4GQ2f+7iAOW8Kopylj/N19rwY\nGYBWZBvtlwejbts8kiLoTWBezLnNfv9jOsOL06BjvqFn/lg9UaE7EC3fPTDNe5eAJZNhv2whesV0\nX8pVHtsoHub0GIZhGIbRhGIPwsP7y/bEvCvM/G/nzshnn74M9b5o5bJDgFNOhzE/1XmCmuQL3QqN\nN0I0Tfns6C3Q60x4FXgQ+BAYCgwHrvbLPnGRj1ABlNqWNmfSzbZQ+jhfZ8+7Vkt9ezRYHxfpjjpr\nBwOfQy/pCH+t3twTDr8aOqYrgf5LuDMu8nvSC5o6tFjF0lB73i+XoNe8FuC3IjNL5b4U2wk1So85\nPYZRQjI5Im3BKWnr5LpG5vQYxs5Baz4xj4tEH4ZTV8EvP1EnSIIqcc11BOIi1cDeqAAa5pdB64UK\npXSCaHk6QdQWSx8Xy3GKi3QA9muA0VPhjtosOUMT4faoipiwwFkWc25DAf22yUmNvDGnxzAMwzCM\nktGaT8xjzjXG4AHggWBgWgXiNCcn0sx9bkbDuOalfhYX6UxTIXQE8B3/umtc5ANSxFBvmPqrwieB\nbVWKNXj31dfmisjbEfgTGSZWdZD4JVzU0uOWy30xsbNzYk6PYexktLYrtLO6Tub0GMbOR6memJdj\njpW4SFdSnKEEDJ8MR5YqD6WclPqam/ti5MKcHsMwDMMwykKpBqjr4MpxWoUtXRjUuNY4pg/TesM3\nIFn6mGa6TjsTpb7mJnaMXJjTYxg7Oemcmdz5L00/jxNrtrPTkm2LhU1OahhGLnzxgGm1oTCodWVI\nQi+H61Qu2so1Nwwwp8cwDMMwjF0AXyBgbBAGVa55VcrhOpWLtnLNDQPM6TGMstJa+TP57rdcxy+W\nOxQ+juX0GIaxs2AOiGGUHnN6DMMwDMMwSog5IIZReszpMYx2SOCABBTTyWmr1d3M6TEMwzAMIxMm\negxjFySfQgYtETflEEYmegzDMAzDyES7L5loGIZhGIZhGMaujTk9htEOaSshaM3pR3P7bk6PYRiG\nYRiZMKfHMAzDMAzDMIx2jTk9htEGaU5J51K7O03LRZffWTKnxzAMwzCMTJjTYxiGYRiGYRhGu8ac\nHsNoJxTLbWkrVdvSVZjLtG/9LG5Oj2EYhmEYaTGnxzAMwzAMwzCMdo05PYZRAsqZb9MW+lMKLKfH\nMAzDMIxMmNNjGIZhGIZhGEa7xpwewzDaBeb0GIZhGIaRCXN6DMMwDMMwDMNo12QVPSJyh4isFJF5\naT4bJyIJEekVWjdBRBaJyAIR+WJrdNgwdhXixLbn3rRFitW/tn6ehmEYhmHs/FTk+PxO4BZgenil\niAwCvgAsDq3bHzgL2B8YADwtIvs45xJF7bFhtCOKUVCgXEUJinW8TCWpc5eobl+FGAzDMAzDaD2y\nOj3OuTnA2jQf/RoYn7LuVOAe51y9c64GeB84vBidNAzDMAzDMAzDaC45CxmIyBDgEefcAf79qcDx\nzrkfi8hHwCHOuc9E5BbgZefcX/z3/gg87pz7W8r+rJCBYbQi6ULF2pojEidWcJ9yl+G2QgaGYRiG\nYaQnV3hbE0SkGpiIhrZtX51lk7SKalbo9RDfDMMwCqHGN8MwDMMwjFwU5PSIyAHA08Bm//FAYBnw\nOeACAOfctX67J4CYc+5fKfszp8cwUtgVc1SKfc7m9BiGYRiGkYmCSlY75+Y55/o654Y654YCS4Ex\nzrmVwMPA2SLSQUSGAsOBV4rfZcMwDMMwDMMwjPzJ6vSIyD3AcUBvYBVwjXPuztDnHwKHOuc+8+8n\nAhcCDcAVzrkn0+zTnB5jlyCdk9Gajk6x9t2S/ZTTsTKnxzAMwzCMTGTN6XHOfSvH53ulvJ8CTClC\nvwzDMAzDMAzDMIpCzpyeoh/QnB7D2E4+zsjOnO9Tyrl2zOkxDMMwDCMTBeX0GIZhGIZhGIZh7GyY\n02MYJWBndmt2FszpMQzDMAwjE+b0GIZhGIZhGIbRriloclLDMJrHzuzwtHY1N3PBDMMwDMNobczp\nMQzDMAzDMAyjXWM5PYZh7LSEXSLL6TEMwzAMIxMW3mYYRlkoRlibhcQZhmEYhpEPFt5mGIZhGIZh\nGEa7piyip6YcB82DmnJ3IA015e5AGmrK3YE01JS7A2moKeC7cWLbnY/WRI9zfhH31fw+x/weoPBr\nZRiGYRiGUQgmekLUlLsDaagpdwfSUFPuDqShptwdSENNuTuQkZpyd2AHasrdAcMwDMMw2jWW02MY\nbYBCclNakgsTI86sFu63kOO3Rjlqy+MxDMMwDKNQLKfHMAzDMAzDMIx2TVlKVpf0gIZh7DJYyWrD\nMAzDMNJRctFjGIZhGIZhGIZRSiy8zTAMwzAMwzCMdo2JHsMwDMMwDMMw2jUlFz0icrKILBCRRSLy\n01If3/dhkIjMFJF3RORtEbncr+8lIk+JyHsi8k8R6VGGvkVF5A0ReaQt9ElEeojI/SLyrojMF5HP\ntYE+TfD3bp6I3C0iHcvRJxG5Q0RWisi80LqM/fD9XuR//18sYZ9u8Pdvrog8ICLdy92n0GfjRCQh\nIr1K2SfDMAzDMHYtSip6RCQK/A44Gdgf+JaI7FfKPnjqgR8750YCRwCX+H5cDTzlnNsHeMa/LzVX\nAPOBINmq3H26GfiHc24/4EBgQTn7JCJDgB8AY5xzBwBR4Owy9elO9LccJm0/RGR/4Cz0d38ycJuI\ntMbfX7o+/RMY6Zw7CHgPmNAG+oSIDAK+ACwOrStVnwzDMAzD2IUo9WDicOB951yNc64e+Ctwaon7\ngHNuhXPuTf96I/AuMAA4Bfiz/9qfga+Xsl8iMhD4CvBHIKhCVbY+eUfgGOfcHQDOuQbn3Ppy9gmo\nRUVrtYhUANXA8nL0yTk3B1ibsjpTP04F7nHO1TvnaoD30b+HVu+Tc+4p51zCv/0XMLDcffL8Ghif\nsq4kfTIMwzAMY9ei1KJnALAk9H6pX1c2vHMwGh0M9nXOrfQfrQT6lrg7vwF+AiRC68rZp6HAahG5\nU0ReF5HbRaRzOfvknPsMuBH4GBU765xzT5WzTylk6kd/9PceUK7f/oXAP/zrsvVJRE4Fljrn3kr5\nqK1cJ8MwDMMw2hGlFj1tqj62iHQB/gZc4ZzbEP7MaS3vkvVXRL4KrHLOvUHS5WlCqfsEVABjgNuc\nc2OATaSEjZXhOu0N/AgYgg6Qu4jIueXsUyby6EdJ+ygiPwPqnHN3Z/laq/dJRKqBiUAsvDrLJmW/\nl4ZhGIZh7NyUWvQsAwaF3g+i6VPdkiEilajgucs596BfvVJE9vCf9wNWlbBLRwKniMhHwD3AWBG5\nq8x9Woo+jX/Vv78fFUErytinQ4EXnXNrnHMNwAPA58vcpzCZ7lfqb3+gX1cSROS7aOjkt0Ory9Wn\nvVHROtf/3gcCr4lI3zL2yTAMwzCMdkypRc+/geEiMkREOqAJyw+XuA+IiAB/AuY7524KffQwcL5/\nfT7wYOq2rYVzbqJzbpBzbiiamP+sc+47Ze7TCmCJiOzjV50EvAM8Uq4+oYUUjhCRTv4+noQWfihn\nn8Jkul8PA2eLSAcRGQoMB14pRYdE5GQ0bPJU59zWlL6WvE/OuXnOub7OuaH+974ULUyxslx9MgzD\nMAyjfVNRyoM55xpE5FLgSbTq1p+cc++Wsg+eo4BzgbdE5A2/bgJwLTBDRL4H1ABnlqFvAUFIT7n7\ndBnwFy9SPwAuQO9dWfrknJsrItNRAZ0AXgf+H9C11H0SkXuA44DdRGQJcA0Z7pdzbr6IzEAFWgNw\nsQ9/a+0+xdDfdgfgKdWJvOScu7gMfeodXCfn3J2hr2w/Zqn6ZBiGYRjGroXYeMIwDMMwDMMwjPaM\nzX9hGIZhGIZhGEa7xkSPYRiGYRiGYRjtGhM9hmEYhmEYhmG0a0z0GIZhGIZhGIbRrjHRYxiGYRiG\nYRhGu8ZEj2EYhmEYhmEY7RoTPYZhGIZhGIZhtGtM9BiGYRiGYRiG0a75/wcsAVtT9/tdAAAAAElF\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f939cc61490>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Regular interconnected multiplex"
     ]
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Define the type of interconnection between the layers"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "adj_block = mx.lil_matrix(np.zeros((N*3,N*3)))\n",
      "\n",
      "adj_block[0:  N,  N:2*N] = np.identity(N)    # L_12\n",
      "adj_block[0:  N,2*N:3*N] = np.identity(N)    # L_13\n",
      "#adj_block[N:2*N,2*N:3*N] = np.identity(N)    # L_23\n",
      "adj_block += adj_block.T"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Create an instance of the MultilayerGraph class"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mg = mx.MultilayerGraph(list_of_layers=[g1,g2,g3], \n",
      "                        inter_adjacency_matrix=adj_block)\n",
      "\n",
      "mg.set_edges_weights(inter_layer_edges_weight=4)\n",
      "\n",
      "mg.set_intra_edges_weights(layer=0,weight=1)\n",
      "mg.set_intra_edges_weights(layer=1,weight=2)\n",
      "mg.set_intra_edges_weights(layer=2,weight=3)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Plot the adjacency matrix and the multiplex networks"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(15,5))\n",
      "ax1 = fig.add_subplot(121)\n",
      "ax1.imshow(mx.adjacency_matrix(mg,weight='weight').todense(),\n",
      "          origin='upper',interpolation='nearest',cmap=plt.cm.jet_r)\n",
      "ax1.set_title('supra adjacency matrix')\n",
      "\n",
      "ax2 = fig.add_subplot(122)\n",
      "ax2.axis('off')\n",
      "ax2.set_title('regular interconnected network')\n",
      "pos = mx.get_position(mg,mx.fruchterman_reingold_layout(mg.get_layer(0)),\n",
      "                      layer_vertical_shift=1.4,\n",
      "                      layer_horizontal_shift=0.0,\n",
      "                      proj_angle=7)\n",
      "mx.draw_networkx(mg,pos=pos,ax=ax2,node_size=50,with_labels=False,\n",
      "                 edge_color=[mg[a][b]['weight'] for a,b in mg.edges()],\n",
      "                 edge_cmap=plt.cm.jet_r)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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F/kAeauh4xlUEKEYNm3LUEGmLGpkrUeMnHTVmDrH7ZtrDb+SnQshJWwhmHYG0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\nzbWLZvEESZMWxEqgn8vUtvt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e5ZhfXY0aSs3QmJjzQYajsTDvcce/X2bKRY+jtmV3ftET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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f93990cead0>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "General multiplex multiplex\n"
     ]
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Define the type of interconnection between the layers"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "adj_block = mx.lil_matrix(np.zeros((N*4,N*4)))\n",
      "\n",
      "adj_block[0  :  N ,   N:2*N] = np.identity(N)   # L_12\n",
      "adj_block[0  :  N , 2*N:3*N] = np.random.poisson(0.005,size=(N,N))   # L_13\n",
      "adj_block[0  :  N , 3*N:4*N] = np.random.poisson(0.006,size=(N,N))   # L_34\n",
      "adj_block[3*N:4*N , 2*N:3*N] = np.random.poisson(0.008,size=(N,N))   # L_14\n",
      "adj_block += adj_block.T\n",
      "adj_block[adj_block>1] = 1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Create an instance of the MultilayerGraph class"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mg = mx.MultilayerGraph(list_of_layers=[g1,g2,g3,g1],\n",
      "                        inter_adjacency_matrix=adj_block)\n",
      "\n",
      "mg.set_edges_weights(inter_layer_edges_weight=5)\n",
      "\n",
      "mg.set_intra_edges_weights(layer=0,weight=1)\n",
      "mg.set_intra_edges_weights(layer=1,weight=2)\n",
      "mg.set_intra_edges_weights(layer=2,weight=3)\n",
      "mg.set_intra_edges_weights(layer=3,weight=4)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "Plot the adjacency matrix and the multiplex networks"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(15,5))\n",
      "ax1 = fig.add_subplot(121)\n",
      "ax1.imshow(mx.adjacency_matrix(mg,weight='weight').todense(),\n",
      "          origin='upper',interpolation='nearest',cmap=plt.cm.jet_r)\n",
      "ax1.set_title('supra adjacency matrix')\n",
      "\n",
      "ax2 = fig.add_subplot(122)\n",
      "ax2.axis('off')\n",
      "ax2.set_title('general multiplex network')\n",
      "pos = mx.get_position(mg,mx.fruchterman_reingold_layout(mg.get_layer(0)),\n",
      "                      layer_vertical_shift=.3,\n",
      "                      layer_horizontal_shift=0.9,\n",
      "                      proj_angle=.2)\n",
      "mx.draw_networkx(mg,pos=pos,ax=ax2,node_size=50,with_labels=False,\n",
      "                 edge_color=[mg[a][b]['weight'] for a,b in mg.edges()],\n",
      "                 edge_cmap=plt.cm.jet_r)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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O4ziZTIMXPY7jOI7jOI7jONVRrzk9W6ssdXJOTaasBVQXeI6P46TGc3ocx3Ecx0lHvYge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vPoroRz9YHn0PqghZuxdIf/OFxNj8NOhcQmn9urIem2gKvd2TS4mh6HnRHGmDAQCkFJFXU+EkCy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\n/wMWa8A/ggy0WQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f939aa3b7d0>"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 95
    }
   ],
   "metadata": {}
  }
 ]
}